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Finding the Fourth Proportional to 3,702.87, 5,554.31 and 1,482.71

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Solution

The fourth proportional to 3,702.87, 5,554.31 and 1,482.71 is: 2,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.87 : 5,554.31 = 1,482.71 : x
  2. Step 2: Convert to fraction form
    3,702.87/5,554.31 = 1,482.71/x
  3. Step 3: Cross multiply
    3,702.87x = 5,554.31 × 1,482.71
  4. Step 4: Simplify right side
    3,702.87x = 8,235,395.80
  5. Step 5: Solve for x
    x = 8,235,395.80/3,702.87
  6. Step 6: Final answer
    x = 2,224.06

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Why These Related Problems?

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