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Finding the Fourth Proportional to 4,874.59, 7,304.59 and 2,924.65

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Solution

The fourth proportional to 4,874.59, 7,304.59 and 2,924.65 is: 4,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.59 : 7,304.59 = 2,924.65 : x
  2. Step 2: Convert to fraction form
    4,874.59/7,304.59 = 2,924.65/x
  3. Step 3: Cross multiply
    4,874.59x = 7,304.59 × 2,924.65
  4. Step 4: Simplify right side
    4,874.59x = 21,363,369.14
  5. Step 5: Solve for x
    x = 21,363,369.14/4,874.59
  6. Step 6: Final answer
    x = 4,382.60

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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.