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Finding the Fourth Proportional to 3,035.13, 4,552.48 and 843.87

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Solution

The fourth proportional to 3,035.13, 4,552.48 and 843.87 is: 1,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.13 : 4,552.48 = 843.87 : x
  2. Step 2: Convert to fraction form
    3,035.13/4,552.48 = 843.87/x
  3. Step 3: Cross multiply
    3,035.13x = 4,552.48 × 843.87
  4. Step 4: Simplify right side
    3,035.13x = 3,841,701.30
  5. Step 5: Solve for x
    x = 3,841,701.30/3,035.13
  6. Step 6: Final answer
    x = 1,265.75

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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.