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Finding the Fourth Proportional to 4,100.40, 5,658.62 and 2,332.01

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Solution

The fourth proportional to 4,100.40, 5,658.62 and 2,332.01 is: 3,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.40 : 5,658.62 = 2,332.01 : x
  2. Step 2: Convert to fraction form
    4,100.40/5,658.62 = 2,332.01/x
  3. Step 3: Cross multiply
    4,100.40x = 5,658.62 × 2,332.01
  4. Step 4: Simplify right side
    4,100.40x = 13,195,918.47
  5. Step 5: Solve for x
    x = 13,195,918.47/4,100.40
  6. Step 6: Final answer
    x = 3,218.20

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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.