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Finding the Fourth Proportional to 4,585.65, 6,874.08 and 1,463.93

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Solution

The fourth proportional to 4,585.65, 6,874.08 and 1,463.93 is: 2,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.65 : 6,874.08 = 1,463.93 : x
  2. Step 2: Convert to fraction form
    4,585.65/6,874.08 = 1,463.93/x
  3. Step 3: Cross multiply
    4,585.65x = 6,874.08 × 1,463.93
  4. Step 4: Simplify right side
    4,585.65x = 10,063,171.93
  5. Step 5: Solve for x
    x = 10,063,171.93/4,585.65
  6. Step 6: Final answer
    x = 2,194.49

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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.