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Finding the Fourth Proportional to 6,414.54, 8,849.98 and 3,581.45

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Solution

The fourth proportional to 6,414.54, 8,849.98 and 3,581.45 is: 4,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.54 : 8,849.98 = 3,581.45 : x
  2. Step 2: Convert to fraction form
    6,414.54/8,849.98 = 3,581.45/x
  3. Step 3: Cross multiply
    6,414.54x = 8,849.98 × 3,581.45
  4. Step 4: Simplify right side
    6,414.54x = 31,695,729.79
  5. Step 5: Solve for x
    x = 31,695,729.79/6,414.54
  6. Step 6: Final answer
    x = 4,941.24

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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.