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Finding the Fourth Proportional to 5,230.60, 7,846.02 and 1,335.04

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Solution

The fourth proportional to 5,230.60, 7,846.02 and 1,335.04 is: 2,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.60 : 7,846.02 = 1,335.04 : x
  2. Step 2: Convert to fraction form
    5,230.60/7,846.02 = 1,335.04/x
  3. Step 3: Cross multiply
    5,230.60x = 7,846.02 × 1,335.04
  4. Step 4: Simplify right side
    5,230.60x = 10,474,750.54
  5. Step 5: Solve for x
    x = 10,474,750.54/5,230.60
  6. Step 6: Final answer
    x = 2,002.59

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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.