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Finding the Fourth Proportional to 3,117.46, 4,654.49 and 2,806.42

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Solution

The fourth proportional to 3,117.46, 4,654.49 and 2,806.42 is: 4,190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.46 : 4,654.49 = 2,806.42 : x
  2. Step 2: Convert to fraction form
    3,117.46/4,654.49 = 2,806.42/x
  3. Step 3: Cross multiply
    3,117.46x = 4,654.49 × 2,806.42
  4. Step 4: Simplify right side
    3,117.46x = 13,062,453.83
  5. Step 5: Solve for x
    x = 13,062,453.83/3,117.46
  6. Step 6: Final answer
    x = 4,190.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.