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Finding the Fourth Proportional to 5,140.95, 7,711.56 and 1,630.97

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Solution

The fourth proportional to 5,140.95, 7,711.56 and 1,630.97 is: 2,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.95 : 7,711.56 = 1,630.97 : x
  2. Step 2: Convert to fraction form
    5,140.95/7,711.56 = 1,630.97/x
  3. Step 3: Cross multiply
    5,140.95x = 7,711.56 × 1,630.97
  4. Step 4: Simplify right side
    5,140.95x = 12,577,323.01
  5. Step 5: Solve for x
    x = 12,577,323.01/5,140.95
  6. Step 6: Final answer
    x = 2,446.50

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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.