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Finding the Fourth Proportional to 5,660.46, 7,811.49 and 3,142.80

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Solution

The fourth proportional to 5,660.46, 7,811.49 and 3,142.80 is: 4,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.46 : 7,811.49 = 3,142.80 : x
  2. Step 2: Convert to fraction form
    5,660.46/7,811.49 = 3,142.80/x
  3. Step 3: Cross multiply
    5,660.46x = 7,811.49 × 3,142.80
  4. Step 4: Simplify right side
    5,660.46x = 24,549,950.77
  5. Step 5: Solve for x
    x = 24,549,950.77/5,660.46
  6. Step 6: Final answer
    x = 4,337.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.