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Finding the Fourth Proportional to 5,032.60, 7,512.09 and 4,662

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Solution

The fourth proportional to 5,032.60, 7,512.09 and 4,662 is: 6,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.60 : 7,512.09 = 4,662 : x
  2. Step 2: Convert to fraction form
    5,032.60/7,512.09 = 4,662/x
  3. Step 3: Cross multiply
    5,032.60x = 7,512.09 × 4,662
  4. Step 4: Simplify right side
    5,032.60x = 35,021,363.58
  5. Step 5: Solve for x
    x = 35,021,363.58/5,032.60
  6. Step 6: Final answer
    x = 6,958.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.