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Finding the Fourth Proportional to 4,627.60, 6,942.12 and 1,548.88

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Solution

The fourth proportional to 4,627.60, 6,942.12 and 1,548.88 is: 2,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.60 : 6,942.12 = 1,548.88 : x
  2. Step 2: Convert to fraction form
    4,627.60/6,942.12 = 1,548.88/x
  3. Step 3: Cross multiply
    4,627.60x = 6,942.12 × 1,548.88
  4. Step 4: Simplify right side
    4,627.60x = 10,752,468.37
  5. Step 5: Solve for x
    x = 10,752,468.37/4,627.60
  6. Step 6: Final answer
    x = 2,323.55

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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.