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Finding the Fourth Proportional to 5,293.76, 7,937.76 and 2,697.92

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Solution

The fourth proportional to 5,293.76, 7,937.76 and 2,697.92 is: 4,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.76 : 7,937.76 = 2,697.92 : x
  2. Step 2: Convert to fraction form
    5,293.76/7,937.76 = 2,697.92/x
  3. Step 3: Cross multiply
    5,293.76x = 7,937.76 × 2,697.92
  4. Step 4: Simplify right side
    5,293.76x = 21,415,441.46
  5. Step 5: Solve for x
    x = 21,415,441.46/5,293.76
  6. Step 6: Final answer
    x = 4,045.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.