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Finding the Fourth Proportional to 5,566, 7,681.56 and 3,082.48

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Solution

The fourth proportional to 5,566, 7,681.56 and 3,082.48 is: 4,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566 : 7,681.56 = 3,082.48 : x
  2. Step 2: Convert to fraction form
    5,566/7,681.56 = 3,082.48/x
  3. Step 3: Cross multiply
    5,566x = 7,681.56 × 3,082.48
  4. Step 4: Simplify right side
    5,566x = 23,678,255.07
  5. Step 5: Solve for x
    x = 23,678,255.07/5,566
  6. Step 6: Final answer
    x = 4,254.09

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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.