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Finding the Fourth Proportional to 5,170.46, 7,138.80 and 4,839.98

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Solution

The fourth proportional to 5,170.46, 7,138.80 and 4,839.98 is: 6,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.46 : 7,138.80 = 4,839.98 : x
  2. Step 2: Convert to fraction form
    5,170.46/7,138.80 = 4,839.98/x
  3. Step 3: Cross multiply
    5,170.46x = 7,138.80 × 4,839.98
  4. Step 4: Simplify right side
    5,170.46x = 34,551,613.53
  5. Step 5: Solve for x
    x = 34,551,613.53/5,170.46
  6. Step 6: Final answer
    x = 6,682.51

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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.