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Finding the Fourth Proportional to 5,432.67, 7,496.69 and 3,074.76

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Solution

The fourth proportional to 5,432.67, 7,496.69 and 3,074.76 is: 4,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.67 : 7,496.69 = 3,074.76 : x
  2. Step 2: Convert to fraction form
    5,432.67/7,496.69 = 3,074.76/x
  3. Step 3: Cross multiply
    5,432.67x = 7,496.69 × 3,074.76
  4. Step 4: Simplify right side
    5,432.67x = 23,050,507.17
  5. Step 5: Solve for x
    x = 23,050,507.17/5,432.67
  6. Step 6: Final answer
    x = 4,242.94

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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.