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Finding the Fourth Proportional to 5,280.88, 7,921 and 1,385.28

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Solution

The fourth proportional to 5,280.88, 7,921 and 1,385.28 is: 2,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.88 : 7,921 = 1,385.28 : x
  2. Step 2: Convert to fraction form
    5,280.88/7,921 = 1,385.28/x
  3. Step 3: Cross multiply
    5,280.88x = 7,921 × 1,385.28
  4. Step 4: Simplify right side
    5,280.88x = 10,972,802.88
  5. Step 5: Solve for x
    x = 10,972,802.88/5,280.88
  6. Step 6: Final answer
    x = 2,077.84

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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.