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Finding the Fourth Proportional to 5,280.50, 7,920.72 and 1,384.88

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Solution

The fourth proportional to 5,280.50, 7,920.72 and 1,384.88 is: 2,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.50 : 7,920.72 = 1,384.88 : x
  2. Step 2: Convert to fraction form
    5,280.50/7,920.72 = 1,384.88/x
  3. Step 3: Cross multiply
    5,280.50x = 7,920.72 × 1,384.88
  4. Step 4: Simplify right side
    5,280.50x = 10,969,207.11
  5. Step 5: Solve for x
    x = 10,969,207.11/5,280.50
  6. Step 6: Final answer
    x = 2,077.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.