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Finding the Fourth Proportional to 5,230.96, 7,845.76 and 1,335.13

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Solution

The fourth proportional to 5,230.96, 7,845.76 and 1,335.13 is: 2,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.96 : 7,845.76 = 1,335.13 : x
  2. Step 2: Convert to fraction form
    5,230.96/7,845.76 = 1,335.13/x
  3. Step 3: Cross multiply
    5,230.96x = 7,845.76 × 1,335.13
  4. Step 4: Simplify right side
    5,230.96x = 10,475,109.55
  5. Step 5: Solve for x
    x = 10,475,109.55/5,230.96
  6. Step 6: Final answer
    x = 2,002.52

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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.