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Finding the Fourth Proportional to 3,702.52, 5,111.75 and 2,378.55

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Solution

The fourth proportional to 3,702.52, 5,111.75 and 2,378.55 is: 3,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.52 : 5,111.75 = 2,378.55 : x
  2. Step 2: Convert to fraction form
    3,702.52/5,111.75 = 2,378.55/x
  3. Step 3: Cross multiply
    3,702.52x = 5,111.75 × 2,378.55
  4. Step 4: Simplify right side
    3,702.52x = 12,158,552.96
  5. Step 5: Solve for x
    x = 12,158,552.96/3,702.52
  6. Step 6: Final answer
    x = 3,283.86

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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.