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Finding the Fourth Proportional to 5,280.46, 7,920.07 and 1,385.17

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Solution

The fourth proportional to 5,280.46, 7,920.07 and 1,385.17 is: 2,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.46 : 7,920.07 = 1,385.17 : x
  2. Step 2: Convert to fraction form
    5,280.46/7,920.07 = 1,385.17/x
  3. Step 3: Cross multiply
    5,280.46x = 7,920.07 × 1,385.17
  4. Step 4: Simplify right side
    5,280.46x = 10,970,643.36
  5. Step 5: Solve for x
    x = 10,970,643.36/5,280.46
  6. Step 6: Final answer
    x = 2,077.59

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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.