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Finding the Fourth Proportional to 6,575.57, 9,074.03 and 3,742.56

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Solution

The fourth proportional to 6,575.57, 9,074.03 and 3,742.56 is: 5,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.57 : 9,074.03 = 3,742.56 : x
  2. Step 2: Convert to fraction form
    6,575.57/9,074.03 = 3,742.56/x
  3. Step 3: Cross multiply
    6,575.57x = 9,074.03 × 3,742.56
  4. Step 4: Simplify right side
    6,575.57x = 33,960,083.00
  5. Step 5: Solve for x
    x = 33,960,083.00/6,575.57
  6. Step 6: Final answer
    x = 5,164.59

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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.