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Finding the Fourth Proportional to 4,101.71, 5,659.80 and 2,332.98

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Solution

The fourth proportional to 4,101.71, 5,659.80 and 2,332.98 is: 3,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.71 : 5,659.80 = 2,332.98 : x
  2. Step 2: Convert to fraction form
    4,101.71/5,659.80 = 2,332.98/x
  3. Step 3: Cross multiply
    4,101.71x = 5,659.80 × 2,332.98
  4. Step 4: Simplify right side
    4,101.71x = 13,204,200.20
  5. Step 5: Solve for x
    x = 13,204,200.20/4,101.71
  6. Step 6: Final answer
    x = 3,219.19

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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.