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Finding the Fourth Proportional to 3,114.89, 4,672.32 and 1,062.89

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Solution

The fourth proportional to 3,114.89, 4,672.32 and 1,062.89 is: 1,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.89 : 4,672.32 = 1,062.89 : x
  2. Step 2: Convert to fraction form
    3,114.89/4,672.32 = 1,062.89/x
  3. Step 3: Cross multiply
    3,114.89x = 4,672.32 × 1,062.89
  4. Step 4: Simplify right side
    3,114.89x = 4,966,162.20
  5. Step 5: Solve for x
    x = 4,966,162.20/3,114.89
  6. Step 6: Final answer
    x = 1,594.33

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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.