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Finding the Fourth Proportional to 4,872.65, 7,308.78 and 1,362.65

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Solution

The fourth proportional to 4,872.65, 7,308.78 and 1,362.65 is: 2,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.65 : 7,308.78 = 1,362.65 : x
  2. Step 2: Convert to fraction form
    4,872.65/7,308.78 = 1,362.65/x
  3. Step 3: Cross multiply
    4,872.65x = 7,308.78 × 1,362.65
  4. Step 4: Simplify right side
    4,872.65x = 9,959,272.52
  5. Step 5: Solve for x
    x = 9,959,272.52/4,872.65
  6. Step 6: Final answer
    x = 2,043.92

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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.