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Finding the Fourth Proportional to 5,978,864.16, 8,248,676.40 and 4,602,629.28

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Solution

The fourth proportional to 5,978,864.16, 8,248,676.40 and 4,602,629.28 is: 6,349,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978,864.16 : 8,248,676.40 = 4,602,629.28 : x
  2. Step 2: Convert to fraction form
    5,978,864.16/8,248,676.40 = 4,602,629.28/x
  3. Step 3: Cross multiply
    5,978,864.16x = 8,248,676.40 × 4,602,629.28
  4. Step 4: Simplify right side
    5,978,864.16x = 37,965,599,519,884.99
  5. Step 5: Solve for x
    x = 37,965,599,519,884.99/5,978,864.16
  6. Step 6: Final answer
    x = 6,349,968.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.