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Finding the Fourth Proportional to 3,170.58, 4,750.12 and 1,524.79

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Solution

The fourth proportional to 3,170.58, 4,750.12 and 1,524.79 is: 2,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.58 : 4,750.12 = 1,524.79 : x
  2. Step 2: Convert to fraction form
    3,170.58/4,750.12 = 1,524.79/x
  3. Step 3: Cross multiply
    3,170.58x = 4,750.12 × 1,524.79
  4. Step 4: Simplify right side
    3,170.58x = 7,242,935.47
  5. Step 5: Solve for x
    x = 7,242,935.47/3,170.58
  6. Step 6: Final answer
    x = 2,284.42

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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.