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Finding the Fourth Proportional to 3,932.69, 5,430.24 and 3,046.95

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Solution

The fourth proportional to 3,932.69, 5,430.24 and 3,046.95 is: 4,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.69 : 5,430.24 = 3,046.95 : x
  2. Step 2: Convert to fraction form
    3,932.69/5,430.24 = 3,046.95/x
  3. Step 3: Cross multiply
    3,932.69x = 5,430.24 × 3,046.95
  4. Step 4: Simplify right side
    3,932.69x = 16,545,669.77
  5. Step 5: Solve for x
    x = 16,545,669.77/3,932.69
  6. Step 6: Final answer
    x = 4,207.22

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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.