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Finding the Fourth Proportional to 3,407.28, 4,702.09 and 1,915.11

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Solution

The fourth proportional to 3,407.28, 4,702.09 and 1,915.11 is: 2,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.28 : 4,702.09 = 1,915.11 : x
  2. Step 2: Convert to fraction form
    3,407.28/4,702.09 = 1,915.11/x
  3. Step 3: Cross multiply
    3,407.28x = 4,702.09 × 1,915.11
  4. Step 4: Simplify right side
    3,407.28x = 9,005,014.79
  5. Step 5: Solve for x
    x = 9,005,014.79/3,407.28
  6. Step 6: Final answer
    x = 2,642.87

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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.