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Finding the Fourth Proportional to 4,002.96, 5,526.62 and 2,746.12

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Solution

The fourth proportional to 4,002.96, 5,526.62 and 2,746.12 is: 3,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.96 : 5,526.62 = 2,746.12 : x
  2. Step 2: Convert to fraction form
    4,002.96/5,526.62 = 2,746.12/x
  3. Step 3: Cross multiply
    4,002.96x = 5,526.62 × 2,746.12
  4. Step 4: Simplify right side
    4,002.96x = 15,176,761.71
  5. Step 5: Solve for x
    x = 15,176,761.71/4,002.96
  6. Step 6: Final answer
    x = 3,791.38

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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.