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Finding the Fourth Proportional to 5,948.81, 8,209.53 and 3,296.46

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Solution

The fourth proportional to 5,948.81, 8,209.53 and 3,296.46 is: 4,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.81 : 8,209.53 = 3,296.46 : x
  2. Step 2: Convert to fraction form
    5,948.81/8,209.53 = 3,296.46/x
  3. Step 3: Cross multiply
    5,948.81x = 8,209.53 × 3,296.46
  4. Step 4: Simplify right side
    5,948.81x = 27,062,370.78
  5. Step 5: Solve for x
    x = 27,062,370.78/5,948.81
  6. Step 6: Final answer
    x = 4,549.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.