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Finding the Fourth Proportional to 5,074, 7,610.76 and 1,610.80

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Solution

The fourth proportional to 5,074, 7,610.76 and 1,610.80 is: 2,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074 : 7,610.76 = 1,610.80 : x
  2. Step 2: Convert to fraction form
    5,074/7,610.76 = 1,610.80/x
  3. Step 3: Cross multiply
    5,074x = 7,610.76 × 1,610.80
  4. Step 4: Simplify right side
    5,074x = 12,259,412.21
  5. Step 5: Solve for x
    x = 12,259,412.21/5,074
  6. Step 6: Final answer
    x = 2,416.12

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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.