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Finding the Fourth Proportional to 4,646.89, 6,971.55 and 1,360.09

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Solution

The fourth proportional to 4,646.89, 6,971.55 and 1,360.09 is: 2,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.89 : 6,971.55 = 1,360.09 : x
  2. Step 2: Convert to fraction form
    4,646.89/6,971.55 = 1,360.09/x
  3. Step 3: Cross multiply
    4,646.89x = 6,971.55 × 1,360.09
  4. Step 4: Simplify right side
    4,646.89x = 9,481,935.44
  5. Step 5: Solve for x
    x = 9,481,935.44/4,646.89
  6. Step 6: Final answer
    x = 2,040.49

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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.