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Finding the Fourth Proportional to 4,296.71, 5,929.16 and 2,407.97

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Solution

The fourth proportional to 4,296.71, 5,929.16 and 2,407.97 is: 3,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.71 : 5,929.16 = 2,407.97 : x
  2. Step 2: Convert to fraction form
    4,296.71/5,929.16 = 2,407.97/x
  3. Step 3: Cross multiply
    4,296.71x = 5,929.16 × 2,407.97
  4. Step 4: Simplify right side
    4,296.71x = 14,277,239.41
  5. Step 5: Solve for x
    x = 14,277,239.41/4,296.71
  6. Step 6: Final answer
    x = 3,322.83

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