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Finding the Fourth Proportional to 5,948.79, 8,209.83 and 3,296.45

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Solution

The fourth proportional to 5,948.79, 8,209.83 and 3,296.45 is: 4,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.79 : 8,209.83 = 3,296.45 : x
  2. Step 2: Convert to fraction form
    5,948.79/8,209.83 = 3,296.45/x
  3. Step 3: Cross multiply
    5,948.79x = 8,209.83 × 3,296.45
  4. Step 4: Simplify right side
    5,948.79x = 27,063,294.10
  5. Step 5: Solve for x
    x = 27,063,294.10/5,948.79
  6. Step 6: Final answer
    x = 4,549.38

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Why These Related Problems?

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