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Finding the Fourth Proportional to 5,165.31, 7,746.81 and 1,467.46

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Solution

The fourth proportional to 5,165.31, 7,746.81 and 1,467.46 is: 2,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.31 : 7,746.81 = 1,467.46 : x
  2. Step 2: Convert to fraction form
    5,165.31/7,746.81 = 1,467.46/x
  3. Step 3: Cross multiply
    5,165.31x = 7,746.81 × 1,467.46
  4. Step 4: Simplify right side
    5,165.31x = 11,368,133.80
  5. Step 5: Solve for x
    x = 11,368,133.80/5,165.31
  6. Step 6: Final answer
    x = 2,200.86

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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.