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Finding the Fourth Proportional to 3,908.90, 5,395.20 and 2,582.66

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Solution

The fourth proportional to 3,908.90, 5,395.20 and 2,582.66 is: 3,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.90 : 5,395.20 = 2,582.66 : x
  2. Step 2: Convert to fraction form
    3,908.90/5,395.20 = 2,582.66/x
  3. Step 3: Cross multiply
    3,908.90x = 5,395.20 × 2,582.66
  4. Step 4: Simplify right side
    3,908.90x = 13,933,967.23
  5. Step 5: Solve for x
    x = 13,933,967.23/3,908.90
  6. Step 6: Final answer
    x = 3,564.68

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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.