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Finding the Fourth Proportional to 3,953.27, 5,456.07 and 2,461.65

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Solution

The fourth proportional to 3,953.27, 5,456.07 and 2,461.65 is: 3,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.27 : 5,456.07 = 2,461.65 : x
  2. Step 2: Convert to fraction form
    3,953.27/5,456.07 = 2,461.65/x
  3. Step 3: Cross multiply
    3,953.27x = 5,456.07 × 2,461.65
  4. Step 4: Simplify right side
    3,953.27x = 13,430,934.72
  5. Step 5: Solve for x
    x = 13,430,934.72/3,953.27
  6. Step 6: Final answer
    x = 3,397.43

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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.