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Finding the Fourth Proportional to 4,974.62, 7,463.09 and 1,854.64

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Solution

The fourth proportional to 4,974.62, 7,463.09 and 1,854.64 is: 2,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.62 : 7,463.09 = 1,854.64 : x
  2. Step 2: Convert to fraction form
    4,974.62/7,463.09 = 1,854.64/x
  3. Step 3: Cross multiply
    4,974.62x = 7,463.09 × 1,854.64
  4. Step 4: Simplify right side
    4,974.62x = 13,841,298.65
  5. Step 5: Solve for x
    x = 13,841,298.65/4,974.62
  6. Step 6: Final answer
    x = 2,782.38

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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.