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Finding the Fourth Proportional to 5,149.25, 7,722.84 and 3,041.66

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Solution

The fourth proportional to 5,149.25, 7,722.84 and 3,041.66 is: 4,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.25 : 7,722.84 = 3,041.66 : x
  2. Step 2: Convert to fraction form
    5,149.25/7,722.84 = 3,041.66/x
  3. Step 3: Cross multiply
    5,149.25x = 7,722.84 × 3,041.66
  4. Step 4: Simplify right side
    5,149.25x = 23,490,253.51
  5. Step 5: Solve for x
    x = 23,490,253.51/5,149.25
  6. Step 6: Final answer
    x = 4,561.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.