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Finding the Fourth Proportional to 6,002.47, 8,278 and 3,764.57

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Solution

The fourth proportional to 6,002.47, 8,278 and 3,764.57 is: 5,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.47 : 8,278 = 3,764.57 : x
  2. Step 2: Convert to fraction form
    6,002.47/8,278 = 3,764.57/x
  3. Step 3: Cross multiply
    6,002.47x = 8,278 × 3,764.57
  4. Step 4: Simplify right side
    6,002.47x = 31,163,110.46
  5. Step 5: Solve for x
    x = 31,163,110.46/6,002.47
  6. Step 6: Final answer
    x = 5,191.71

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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.