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Finding the Fourth Proportional to 6,189.60, 8,538.75 and 4,068.66

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Solution

The fourth proportional to 6,189.60, 8,538.75 and 4,068.66 is: 5,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.60 : 8,538.75 = 4,068.66 : x
  2. Step 2: Convert to fraction form
    6,189.60/8,538.75 = 4,068.66/x
  3. Step 3: Cross multiply
    6,189.60x = 8,538.75 × 4,068.66
  4. Step 4: Simplify right side
    6,189.60x = 34,741,270.58
  5. Step 5: Solve for x
    x = 34,741,270.58/6,189.60
  6. Step 6: Final answer
    x = 5,612.85

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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.