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Finding the Fourth Proportional to 5,070.24, 7,602.24 and 2,729.76

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Solution

The fourth proportional to 5,070.24, 7,602.24 and 2,729.76 is: 4,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.24 : 7,602.24 = 2,729.76 : x
  2. Step 2: Convert to fraction form
    5,070.24/7,602.24 = 2,729.76/x
  3. Step 3: Cross multiply
    5,070.24x = 7,602.24 × 2,729.76
  4. Step 4: Simplify right side
    5,070.24x = 20,752,290.66
  5. Step 5: Solve for x
    x = 20,752,290.66/5,070.24
  6. Step 6: Final answer
    x = 4,092.96

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1.5x scale

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.