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Finding the Fourth Proportional to 5,280, 7,921 and 1,769.68

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Solution

The fourth proportional to 5,280, 7,921 and 1,769.68 is: 2,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280 : 7,921 = 1,769.68 : x
  2. Step 2: Convert to fraction form
    5,280/7,921 = 1,769.68/x
  3. Step 3: Cross multiply
    5,280x = 7,921 × 1,769.68
  4. Step 4: Simplify right side
    5,280x = 14,017,635.28
  5. Step 5: Solve for x
    x = 14,017,635.28/5,280
  6. Step 6: Final answer
    x = 2,654.86

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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.