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Finding the Fourth Proportional to 6,575.42, 9,074.07 and 3,591.25

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Solution

The fourth proportional to 6,575.42, 9,074.07 and 3,591.25 is: 4,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.42 : 9,074.07 = 3,591.25 : x
  2. Step 2: Convert to fraction form
    6,575.42/9,074.07 = 3,591.25/x
  3. Step 3: Cross multiply
    6,575.42x = 9,074.07 × 3,591.25
  4. Step 4: Simplify right side
    6,575.42x = 32,587,231.20
  5. Step 5: Solve for x
    x = 32,587,231.20/6,575.42
  6. Step 6: Final answer
    x = 4,955.91

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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.