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Finding the Fourth Proportional to 3,590.17, 5,380.38 and 1,737.61

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Solution

The fourth proportional to 3,590.17, 5,380.38 and 1,737.61 is: 2,604.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.17 : 5,380.38 = 1,737.61 : x
  2. Step 2: Convert to fraction form
    3,590.17/5,380.38 = 1,737.61/x
  3. Step 3: Cross multiply
    3,590.17x = 5,380.38 × 1,737.61
  4. Step 4: Simplify right side
    3,590.17x = 9,348,988.64
  5. Step 5: Solve for x
    x = 9,348,988.64/3,590.17
  6. Step 6: Final answer
    x = 2,604.05

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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.