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Finding the Fourth Proportional to 4,966.60, 7,438.48 and 2,770.48

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Solution

The fourth proportional to 4,966.60, 7,438.48 and 2,770.48 is: 4,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.60 : 7,438.48 = 2,770.48 : x
  2. Step 2: Convert to fraction form
    4,966.60/7,438.48 = 2,770.48/x
  3. Step 3: Cross multiply
    4,966.60x = 7,438.48 × 2,770.48
  4. Step 4: Simplify right side
    4,966.60x = 20,608,160.07
  5. Step 5: Solve for x
    x = 20,608,160.07/4,966.60
  6. Step 6: Final answer
    x = 4,149.35

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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.