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Finding the Fourth Proportional to 3,847.46, 5,772.10 and 1,250.40

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Solution

The fourth proportional to 3,847.46, 5,772.10 and 1,250.40 is: 1,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.46 : 5,772.10 = 1,250.40 : x
  2. Step 2: Convert to fraction form
    3,847.46/5,772.10 = 1,250.40/x
  3. Step 3: Cross multiply
    3,847.46x = 5,772.10 × 1,250.40
  4. Step 4: Simplify right side
    3,847.46x = 7,217,430.71
  5. Step 5: Solve for x
    x = 7,217,430.71/3,847.46
  6. Step 6: Final answer
    x = 1,875.89

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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.