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Finding the Fourth Proportional to 3,727.13, 5,590.88 and 953.82

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Solution

The fourth proportional to 3,727.13, 5,590.88 and 953.82 is: 1,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.13 : 5,590.88 = 953.82 : x
  2. Step 2: Convert to fraction form
    3,727.13/5,590.88 = 953.82/x
  3. Step 3: Cross multiply
    3,727.13x = 5,590.88 × 953.82
  4. Step 4: Simplify right side
    3,727.13x = 5,332,688.39
  5. Step 5: Solve for x
    x = 5,332,688.39/3,727.13
  6. Step 6: Final answer
    x = 1,430.78

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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.