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Finding the Fourth Proportional to 6,002.48, 8,278 and 3,764.58

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Solution

The fourth proportional to 6,002.48, 8,278 and 3,764.58 is: 5,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.48 : 8,278 = 3,764.58 : x
  2. Step 2: Convert to fraction form
    6,002.48/8,278 = 3,764.58/x
  3. Step 3: Cross multiply
    6,002.48x = 8,278 × 3,764.58
  4. Step 4: Simplify right side
    6,002.48x = 31,163,193.24
  5. Step 5: Solve for x
    x = 31,163,193.24/6,002.48
  6. Step 6: Final answer
    x = 5,191.72

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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.