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Finding the Fourth Proportional to 3,407.29, 4,702.14 and 1,915.32

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Solution

The fourth proportional to 3,407.29, 4,702.14 and 1,915.32 is: 2,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.29 : 4,702.14 = 1,915.32 : x
  2. Step 2: Convert to fraction form
    3,407.29/4,702.14 = 1,915.32/x
  3. Step 3: Cross multiply
    3,407.29x = 4,702.14 × 1,915.32
  4. Step 4: Simplify right side
    3,407.29x = 9,006,102.78
  5. Step 5: Solve for x
    x = 9,006,102.78/3,407.29
  6. Step 6: Final answer
    x = 2,643.19

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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.