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Finding the Fourth Proportional to 3,062.66, 4,221.69 and 2,564.42

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Solution

The fourth proportional to 3,062.66, 4,221.69 and 2,564.42 is: 3,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.66 : 4,221.69 = 2,564.42 : x
  2. Step 2: Convert to fraction form
    3,062.66/4,221.69 = 2,564.42/x
  3. Step 3: Cross multiply
    3,062.66x = 4,221.69 × 2,564.42
  4. Step 4: Simplify right side
    3,062.66x = 10,826,186.27
  5. Step 5: Solve for x
    x = 10,826,186.27/3,062.66
  6. Step 6: Final answer
    x = 3,534.90

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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.