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Finding the Fourth Proportional to 6,409.28, 8,840.18 and 4,948.68

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Solution

The fourth proportional to 6,409.28, 8,840.18 and 4,948.68 is: 6,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.28 : 8,840.18 = 4,948.68 : x
  2. Step 2: Convert to fraction form
    6,409.28/8,840.18 = 4,948.68/x
  3. Step 3: Cross multiply
    6,409.28x = 8,840.18 × 4,948.68
  4. Step 4: Simplify right side
    6,409.28x = 43,747,221.96
  5. Step 5: Solve for x
    x = 43,747,221.96/6,409.28
  6. Step 6: Final answer
    x = 6,825.61

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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.