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Finding the Fourth Proportional to 3,712.87, 5,569.77 and 1,247.95

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Solution

The fourth proportional to 3,712.87, 5,569.77 and 1,247.95 is: 1,872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.87 : 5,569.77 = 1,247.95 : x
  2. Step 2: Convert to fraction form
    3,712.87/5,569.77 = 1,247.95/x
  3. Step 3: Cross multiply
    3,712.87x = 5,569.77 × 1,247.95
  4. Step 4: Simplify right side
    3,712.87x = 6,950,794.47
  5. Step 5: Solve for x
    x = 6,950,794.47/3,712.87
  6. Step 6: Final answer
    x = 1,872.08

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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.