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Finding the Fourth Proportional to 6,155.08, 8,489.70 and 4,164.76

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Solution

The fourth proportional to 6,155.08, 8,489.70 and 4,164.76 is: 5,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.08 : 8,489.70 = 4,164.76 : x
  2. Step 2: Convert to fraction form
    6,155.08/8,489.70 = 4,164.76/x
  3. Step 3: Cross multiply
    6,155.08x = 8,489.70 × 4,164.76
  4. Step 4: Simplify right side
    6,155.08x = 35,357,562.97
  5. Step 5: Solve for x
    x = 35,357,562.97/6,155.08
  6. Step 6: Final answer
    x = 5,744.45

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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.