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Finding the Fourth Proportional to 3,909.78, 5,395.46 and 2,117.27

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Solution

The fourth proportional to 3,909.78, 5,395.46 and 2,117.27 is: 2,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.78 : 5,395.46 = 2,117.27 : x
  2. Step 2: Convert to fraction form
    3,909.78/5,395.46 = 2,117.27/x
  3. Step 3: Cross multiply
    3,909.78x = 5,395.46 × 2,117.27
  4. Step 4: Simplify right side
    3,909.78x = 11,423,648.50
  5. Step 5: Solve for x
    x = 11,423,648.50/3,909.78
  6. Step 6: Final answer
    x = 2,921.81

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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.