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Finding the Fourth Proportional to 5,471.82, 8,209.14 and 1,576.53

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Solution

The fourth proportional to 5,471.82, 8,209.14 and 1,576.53 is: 2,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.82 : 8,209.14 = 1,576.53 : x
  2. Step 2: Convert to fraction form
    5,471.82/8,209.14 = 1,576.53/x
  3. Step 3: Cross multiply
    5,471.82x = 8,209.14 × 1,576.53
  4. Step 4: Simplify right side
    5,471.82x = 12,941,955.48
  5. Step 5: Solve for x
    x = 12,941,955.48/5,471.82
  6. Step 6: Final answer
    x = 2,365.20

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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.