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Finding the Fourth Proportional to 5,656.80, 7,805.68 and 3,138.56

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Solution

The fourth proportional to 5,656.80, 7,805.68 and 3,138.56 is: 4,330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.80 : 7,805.68 = 3,138.56 : x
  2. Step 2: Convert to fraction form
    5,656.80/7,805.68 = 3,138.56/x
  3. Step 3: Cross multiply
    5,656.80x = 7,805.68 × 3,138.56
  4. Step 4: Simplify right side
    5,656.80x = 24,498,595.02
  5. Step 5: Solve for x
    x = 24,498,595.02/5,656.80
  6. Step 6: Final answer
    x = 4,330.82

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