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Finding the Fourth Proportional to 4,290.98, 6,432.82 and 4,086.86

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Solution

The fourth proportional to 4,290.98, 6,432.82 and 4,086.86 is: 6,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.98 : 6,432.82 = 4,086.86 : x
  2. Step 2: Convert to fraction form
    4,290.98/6,432.82 = 4,086.86/x
  3. Step 3: Cross multiply
    4,290.98x = 6,432.82 × 4,086.86
  4. Step 4: Simplify right side
    4,290.98x = 26,290,034.75
  5. Step 5: Solve for x
    x = 26,290,034.75/4,290.98
  6. Step 6: Final answer
    x = 6,126.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.