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Finding the Fourth Proportional to 4,332.14, 6,453.89 and 4,123.16

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Solution

The fourth proportional to 4,332.14, 6,453.89 and 4,123.16 is: 6,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.14 : 6,453.89 = 4,123.16 : x
  2. Step 2: Convert to fraction form
    4,332.14/6,453.89 = 4,123.16/x
  3. Step 3: Cross multiply
    4,332.14x = 6,453.89 × 4,123.16
  4. Step 4: Simplify right side
    4,332.14x = 26,610,421.09
  5. Step 5: Solve for x
    x = 26,610,421.09/4,332.14
  6. Step 6: Final answer
    x = 6,142.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.