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Finding the Fourth Proportional to 5,917.24, 8,871.38 and 3,576.74

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Solution

The fourth proportional to 5,917.24, 8,871.38 and 3,576.74 is: 5,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.24 : 8,871.38 = 3,576.74 : x
  2. Step 2: Convert to fraction form
    5,917.24/8,871.38 = 3,576.74/x
  3. Step 3: Cross multiply
    5,917.24x = 8,871.38 × 3,576.74
  4. Step 4: Simplify right side
    5,917.24x = 31,730,619.70
  5. Step 5: Solve for x
    x = 31,730,619.70/5,917.24
  6. Step 6: Final answer
    x = 5,362.40

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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.