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Finding the Fourth Proportional to 4,139.16, 5,711.40 and 2,648.40

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Solution

The fourth proportional to 4,139.16, 5,711.40 and 2,648.40 is: 3,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.16 : 5,711.40 = 2,648.40 : x
  2. Step 2: Convert to fraction form
    4,139.16/5,711.40 = 2,648.40/x
  3. Step 3: Cross multiply
    4,139.16x = 5,711.40 × 2,648.40
  4. Step 4: Simplify right side
    4,139.16x = 15,126,071.76
  5. Step 5: Solve for x
    x = 15,126,071.76/4,139.16
  6. Step 6: Final answer
    x = 3,654.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.