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Finding the Fourth Proportional to 5,232.04, 7,851.12 and 1,947.46

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Solution

The fourth proportional to 5,232.04, 7,851.12 and 1,947.46 is: 2,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.04 : 7,851.12 = 1,947.46 : x
  2. Step 2: Convert to fraction form
    5,232.04/7,851.12 = 1,947.46/x
  3. Step 3: Cross multiply
    5,232.04x = 7,851.12 × 1,947.46
  4. Step 4: Simplify right side
    5,232.04x = 15,289,742.16
  5. Step 5: Solve for x
    x = 15,289,742.16/5,232.04
  6. Step 6: Final answer
    x = 2,922.33

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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.