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Finding the Fourth Proportional to 3,702.64, 5,109.15 and 2,378.14

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Solution

The fourth proportional to 3,702.64, 5,109.15 and 2,378.14 is: 3,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.64 : 5,109.15 = 2,378.14 : x
  2. Step 2: Convert to fraction form
    3,702.64/5,109.15 = 2,378.14/x
  3. Step 3: Cross multiply
    3,702.64x = 5,109.15 × 2,378.14
  4. Step 4: Simplify right side
    3,702.64x = 12,150,273.98
  5. Step 5: Solve for x
    x = 12,150,273.98/3,702.64
  6. Step 6: Final answer
    x = 3,281.52

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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.