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Finding the Fourth Proportional to 4,861.34, 7,254.07 and 4,337.73

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Solution

The fourth proportional to 4,861.34, 7,254.07 and 4,337.73 is: 6,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.34 : 7,254.07 = 4,337.73 : x
  2. Step 2: Convert to fraction form
    4,861.34/7,254.07 = 4,337.73/x
  3. Step 3: Cross multiply
    4,861.34x = 7,254.07 × 4,337.73
  4. Step 4: Simplify right side
    4,861.34x = 31,466,186.22
  5. Step 5: Solve for x
    x = 31,466,186.22/4,861.34
  6. Step 6: Final answer
    x = 6,472.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.