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Finding the Fourth Proportional to 4,100.49, 5,658.75 and 2,332.16

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Solution

The fourth proportional to 4,100.49, 5,658.75 and 2,332.16 is: 3,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.49 : 5,658.75 = 2,332.16 : x
  2. Step 2: Convert to fraction form
    4,100.49/5,658.75 = 2,332.16/x
  3. Step 3: Cross multiply
    4,100.49x = 5,658.75 × 2,332.16
  4. Step 4: Simplify right side
    4,100.49x = 13,197,082.11
  5. Step 5: Solve for x
    x = 13,197,082.11/4,100.49
  6. Step 6: Final answer
    x = 3,218.42

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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.