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Finding the Fourth Proportional to 5,230.35, 7,845.89 and 2,308.68

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Solution

The fourth proportional to 5,230.35, 7,845.89 and 2,308.68 is: 3,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.35 : 7,845.89 = 2,308.68 : x
  2. Step 2: Convert to fraction form
    5,230.35/7,845.89 = 2,308.68/x
  3. Step 3: Cross multiply
    5,230.35x = 7,845.89 × 2,308.68
  4. Step 4: Simplify right side
    5,230.35x = 18,113,637.78
  5. Step 5: Solve for x
    x = 18,113,637.78/5,230.35
  6. Step 6: Final answer
    x = 3,463.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.