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Finding the Fourth Proportional to 5,496.71, 7,585.38 and 3,138.80

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Solution

The fourth proportional to 5,496.71, 7,585.38 and 3,138.80 is: 4,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.71 : 7,585.38 = 3,138.80 : x
  2. Step 2: Convert to fraction form
    5,496.71/7,585.38 = 3,138.80/x
  3. Step 3: Cross multiply
    5,496.71x = 7,585.38 × 3,138.80
  4. Step 4: Simplify right side
    5,496.71x = 23,808,952.82
  5. Step 5: Solve for x
    x = 23,808,952.82/5,496.71
  6. Step 6: Final answer
    x = 4,331.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.