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Finding the Fourth Proportional to 3,589.80, 5,384.94 and 1,124.70

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Solution

The fourth proportional to 3,589.80, 5,384.94 and 1,124.70 is: 1,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.80 : 5,384.94 = 1,124.70 : x
  2. Step 2: Convert to fraction form
    3,589.80/5,384.94 = 1,124.70/x
  3. Step 3: Cross multiply
    3,589.80x = 5,384.94 × 1,124.70
  4. Step 4: Simplify right side
    3,589.80x = 6,056,442.02
  5. Step 5: Solve for x
    x = 6,056,442.02/3,589.80
  6. Step 6: Final answer
    x = 1,687.13

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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.