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Finding the Fourth Proportional to 4,073.71, 5,622 and 2,281.35

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Solution

The fourth proportional to 4,073.71, 5,622 and 2,281.35 is: 3,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.71 : 5,622 = 2,281.35 : x
  2. Step 2: Convert to fraction form
    4,073.71/5,622 = 2,281.35/x
  3. Step 3: Cross multiply
    4,073.71x = 5,622 × 2,281.35
  4. Step 4: Simplify right side
    4,073.71x = 12,825,749.70
  5. Step 5: Solve for x
    x = 12,825,749.70/4,073.71
  6. Step 6: Final answer
    x = 3,148.42

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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.