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Finding the Fourth Proportional to 5,566.52, 7,681.78 and 3,082.52

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Solution

The fourth proportional to 5,566.52, 7,681.78 and 3,082.52 is: 4,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.52 : 7,681.78 = 3,082.52 : x
  2. Step 2: Convert to fraction form
    5,566.52/7,681.78 = 3,082.52/x
  3. Step 3: Cross multiply
    5,566.52x = 7,681.78 × 3,082.52
  4. Step 4: Simplify right side
    5,566.52x = 23,679,240.49
  5. Step 5: Solve for x
    x = 23,679,240.49/5,566.52
  6. Step 6: Final answer
    x = 4,253.87

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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.