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Finding the Fourth Proportional to 3,414.60, 4,702.23 and 2,966.26

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Solution

The fourth proportional to 3,414.60, 4,702.23 and 2,966.26 is: 4,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.60 : 4,702.23 = 2,966.26 : x
  2. Step 2: Convert to fraction form
    3,414.60/4,702.23 = 2,966.26/x
  3. Step 3: Cross multiply
    3,414.60x = 4,702.23 × 2,966.26
  4. Step 4: Simplify right side
    3,414.60x = 13,948,036.76
  5. Step 5: Solve for x
    x = 13,948,036.76/3,414.60
  6. Step 6: Final answer
    x = 4,084.82

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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.