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Finding the Fourth Proportional to 6,575.86, 9,074.56 and 3,591.62

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Solution

The fourth proportional to 6,575.86, 9,074.56 and 3,591.62 is: 4,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.86 : 9,074.56 = 3,591.62 : x
  2. Step 2: Convert to fraction form
    6,575.86/9,074.56 = 3,591.62/x
  3. Step 3: Cross multiply
    6,575.86x = 9,074.56 × 3,591.62
  4. Step 4: Simplify right side
    6,575.86x = 32,592,371.19
  5. Step 5: Solve for x
    x = 32,592,371.19/6,575.86
  6. Step 6: Final answer
    x = 4,956.37

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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.