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Finding the Fourth Proportional to 5,049.04, 7,574.10 and 1,761.76

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Solution

The fourth proportional to 5,049.04, 7,574.10 and 1,761.76 is: 2,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.04 : 7,574.10 = 1,761.76 : x
  2. Step 2: Convert to fraction form
    5,049.04/7,574.10 = 1,761.76/x
  3. Step 3: Cross multiply
    5,049.04x = 7,574.10 × 1,761.76
  4. Step 4: Simplify right side
    5,049.04x = 13,343,746.42
  5. Step 5: Solve for x
    x = 13,343,746.42/5,049.04
  6. Step 6: Final answer
    x = 2,642.83

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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.