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Finding the Fourth Proportional to 3,895.59, 5,843.39 and 1,298.53

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Solution

The fourth proportional to 3,895.59, 5,843.39 and 1,298.53 is: 1,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.59 : 5,843.39 = 1,298.53 : x
  2. Step 2: Convert to fraction form
    3,895.59/5,843.39 = 1,298.53/x
  3. Step 3: Cross multiply
    3,895.59x = 5,843.39 × 1,298.53
  4. Step 4: Simplify right side
    3,895.59x = 7,587,825.33
  5. Step 5: Solve for x
    x = 7,587,825.33/3,895.59
  6. Step 6: Final answer
    x = 1,947.80

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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.