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Finding the Fourth Proportional to 5,686.98, 8,530.05 and 2,177.30

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Solution

The fourth proportional to 5,686.98, 8,530.05 and 2,177.30 is: 3,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.98 : 8,530.05 = 2,177.30 : x
  2. Step 2: Convert to fraction form
    5,686.98/8,530.05 = 2,177.30/x
  3. Step 3: Cross multiply
    5,686.98x = 8,530.05 × 2,177.30
  4. Step 4: Simplify right side
    5,686.98x = 18,572,491.03
  5. Step 5: Solve for x
    x = 18,572,491.03/5,686.98
  6. Step 6: Final answer
    x = 3,265.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.