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Finding the Fourth Proportional to 3,903.39, 5,856.71 and 1,306.53

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Solution

The fourth proportional to 3,903.39, 5,856.71 and 1,306.53 is: 1,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.39 : 5,856.71 = 1,306.53 : x
  2. Step 2: Convert to fraction form
    3,903.39/5,856.71 = 1,306.53/x
  3. Step 3: Cross multiply
    3,903.39x = 5,856.71 × 1,306.53
  4. Step 4: Simplify right side
    3,903.39x = 7,651,960.78
  5. Step 5: Solve for x
    x = 7,651,960.78/3,903.39
  6. Step 6: Final answer
    x = 1,960.34

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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.