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Finding the Fourth Proportional to 3,727.06, 5,590.78 and 953.76

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Solution

The fourth proportional to 3,727.06, 5,590.78 and 953.76 is: 1,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.06 : 5,590.78 = 953.76 : x
  2. Step 2: Convert to fraction form
    3,727.06/5,590.78 = 953.76/x
  3. Step 3: Cross multiply
    3,727.06x = 5,590.78 × 953.76
  4. Step 4: Simplify right side
    3,727.06x = 5,332,250.74
  5. Step 5: Solve for x
    x = 5,332,250.74/3,727.06
  6. Step 6: Final answer
    x = 1,430.68

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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.