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Finding the Fourth Proportional to 4,608.72, 6,913.29 and 1,322.28

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Solution

The fourth proportional to 4,608.72, 6,913.29 and 1,322.28 is: 1,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.72 : 6,913.29 = 1,322.28 : x
  2. Step 2: Convert to fraction form
    4,608.72/6,913.29 = 1,322.28/x
  3. Step 3: Cross multiply
    4,608.72x = 6,913.29 × 1,322.28
  4. Step 4: Simplify right side
    4,608.72x = 9,141,305.10
  5. Step 5: Solve for x
    x = 9,141,305.10/4,608.72
  6. Step 6: Final answer
    x = 1,983.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.