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Finding the Fourth Proportional to 4,100.58, 5,659.11 and 2,332.35

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Solution

The fourth proportional to 4,100.58, 5,659.11 and 2,332.35 is: 3,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.58 : 5,659.11 = 2,332.35 : x
  2. Step 2: Convert to fraction form
    4,100.58/5,659.11 = 2,332.35/x
  3. Step 3: Cross multiply
    4,100.58x = 5,659.11 × 2,332.35
  4. Step 4: Simplify right side
    4,100.58x = 13,199,025.21
  5. Step 5: Solve for x
    x = 13,199,025.21/4,100.58
  6. Step 6: Final answer
    x = 3,218.82

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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.