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Finding the Fourth Proportional to 3,702.38, 5,551.10 and 1,510.52

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Solution

The fourth proportional to 3,702.38, 5,551.10 and 1,510.52 is: 2,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.38 : 5,551.10 = 1,510.52 : x
  2. Step 2: Convert to fraction form
    3,702.38/5,551.10 = 1,510.52/x
  3. Step 3: Cross multiply
    3,702.38x = 5,551.10 × 1,510.52
  4. Step 4: Simplify right side
    3,702.38x = 8,385,047.57
  5. Step 5: Solve for x
    x = 8,385,047.57/3,702.38
  6. Step 6: Final answer
    x = 2,264.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.