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Finding the Fourth Proportional to 3,875.46, 5,814.40 and 1,280.22

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Solution

The fourth proportional to 3,875.46, 5,814.40 and 1,280.22 is: 1,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.46 : 5,814.40 = 1,280.22 : x
  2. Step 2: Convert to fraction form
    3,875.46/5,814.40 = 1,280.22/x
  3. Step 3: Cross multiply
    3,875.46x = 5,814.40 × 1,280.22
  4. Step 4: Simplify right side
    3,875.46x = 7,443,711.17
  5. Step 5: Solve for x
    x = 7,443,711.17/3,875.46
  6. Step 6: Final answer
    x = 1,920.73

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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.