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Finding the Fourth Proportional to 3,412.85, 4,712.07 and 2,614.77

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Solution

The fourth proportional to 3,412.85, 4,712.07 and 2,614.77 is: 3,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.85 : 4,712.07 = 2,614.77 : x
  2. Step 2: Convert to fraction form
    3,412.85/4,712.07 = 2,614.77/x
  3. Step 3: Cross multiply
    3,412.85x = 4,712.07 × 2,614.77
  4. Step 4: Simplify right side
    3,412.85x = 12,320,979.27
  5. Step 5: Solve for x
    x = 12,320,979.27/3,412.85
  6. Step 6: Final answer
    x = 3,610.18

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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.