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Finding the Fourth Proportional to 5,263.92, 7,265.86 and 3,141

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Solution

The fourth proportional to 5,263.92, 7,265.86 and 3,141 is: 4,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.92 : 7,265.86 = 3,141 : x
  2. Step 2: Convert to fraction form
    5,263.92/7,265.86 = 3,141/x
  3. Step 3: Cross multiply
    5,263.92x = 7,265.86 × 3,141
  4. Step 4: Simplify right side
    5,263.92x = 22,822,066.26
  5. Step 5: Solve for x
    x = 22,822,066.26/5,263.92
  6. Step 6: Final answer
    x = 4,335.56

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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.