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Finding the Fourth Proportional to 3,441.95, 5,148.45 and 3,192.66

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Solution

The fourth proportional to 3,441.95, 5,148.45 and 3,192.66 is: 4,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.95 : 5,148.45 = 3,192.66 : x
  2. Step 2: Convert to fraction form
    3,441.95/5,148.45 = 3,192.66/x
  3. Step 3: Cross multiply
    3,441.95x = 5,148.45 × 3,192.66
  4. Step 4: Simplify right side
    3,441.95x = 16,437,250.38
  5. Step 5: Solve for x
    x = 16,437,250.38/3,441.95
  6. Step 6: Final answer
    x = 4,775.57

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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.