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Finding the Fourth Proportional to 3,464.65, 4,780.38 and 1,951.89

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Solution

The fourth proportional to 3,464.65, 4,780.38 and 1,951.89 is: 2,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.65 : 4,780.38 = 1,951.89 : x
  2. Step 2: Convert to fraction form
    3,464.65/4,780.38 = 1,951.89/x
  3. Step 3: Cross multiply
    3,464.65x = 4,780.38 × 1,951.89
  4. Step 4: Simplify right side
    3,464.65x = 9,330,775.92
  5. Step 5: Solve for x
    x = 9,330,775.92/3,464.65
  6. Step 6: Final answer
    x = 2,693.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.