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Finding the Fourth Proportional to 3,232.68, 4,849.47 and 1,041.42

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Solution

The fourth proportional to 3,232.68, 4,849.47 and 1,041.42 is: 1,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.68 : 4,849.47 = 1,041.42 : x
  2. Step 2: Convert to fraction form
    3,232.68/4,849.47 = 1,041.42/x
  3. Step 3: Cross multiply
    3,232.68x = 4,849.47 × 1,041.42
  4. Step 4: Simplify right side
    3,232.68x = 5,050,353.23
  5. Step 5: Solve for x
    x = 5,050,353.23/3,232.68
  6. Step 6: Final answer
    x = 1,562.28

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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.