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Finding the Fourth Proportional to 5,287.39, 7,931.10 and 2,166.82

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Solution

The fourth proportional to 5,287.39, 7,931.10 and 2,166.82 is: 3,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.39 : 7,931.10 = 2,166.82 : x
  2. Step 2: Convert to fraction form
    5,287.39/7,931.10 = 2,166.82/x
  3. Step 3: Cross multiply
    5,287.39x = 7,931.10 × 2,166.82
  4. Step 4: Simplify right side
    5,287.39x = 17,185,242.21
  5. Step 5: Solve for x
    x = 17,185,242.21/5,287.39
  6. Step 6: Final answer
    x = 3,250.23

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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.