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Finding the Fourth Proportional to 3,973.60, 5,958.48 and 2,330.68

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Solution

The fourth proportional to 3,973.60, 5,958.48 and 2,330.68 is: 3,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.60 : 5,958.48 = 2,330.68 : x
  2. Step 2: Convert to fraction form
    3,973.60/5,958.48 = 2,330.68/x
  3. Step 3: Cross multiply
    3,973.60x = 5,958.48 × 2,330.68
  4. Step 4: Simplify right side
    3,973.60x = 13,887,310.17
  5. Step 5: Solve for x
    x = 13,887,310.17/3,973.60
  6. Step 6: Final answer
    x = 3,494.89

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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.