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Finding the Fourth Proportional to 4,610.93, 6,902.42 and 2,968.65

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Solution

The fourth proportional to 4,610.93, 6,902.42 and 2,968.65 is: 4,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.93 : 6,902.42 = 2,968.65 : x
  2. Step 2: Convert to fraction form
    4,610.93/6,902.42 = 2,968.65/x
  3. Step 3: Cross multiply
    4,610.93x = 6,902.42 × 2,968.65
  4. Step 4: Simplify right side
    4,610.93x = 20,490,854.29
  5. Step 5: Solve for x
    x = 20,490,854.29/4,610.93
  6. Step 6: Final answer
    x = 4,443.98

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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.