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Finding the Fourth Proportional to 4,069.68, 6,105.12 and 1,472.40

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Solution

The fourth proportional to 4,069.68, 6,105.12 and 1,472.40 is: 2,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.68 : 6,105.12 = 1,472.40 : x
  2. Step 2: Convert to fraction form
    4,069.68/6,105.12 = 1,472.40/x
  3. Step 3: Cross multiply
    4,069.68x = 6,105.12 × 1,472.40
  4. Step 4: Simplify right side
    4,069.68x = 8,989,178.69
  5. Step 5: Solve for x
    x = 8,989,178.69/4,069.68
  6. Step 6: Final answer
    x = 2,208.82

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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.