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Finding the Fourth Proportional to 4,218.65, 5,823.69 and 2,449.91

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Solution

The fourth proportional to 4,218.65, 5,823.69 and 2,449.91 is: 3,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.65 : 5,823.69 = 2,449.91 : x
  2. Step 2: Convert to fraction form
    4,218.65/5,823.69 = 2,449.91/x
  3. Step 3: Cross multiply
    4,218.65x = 5,823.69 × 2,449.91
  4. Step 4: Simplify right side
    4,218.65x = 14,267,487.25
  5. Step 5: Solve for x
    x = 14,267,487.25/4,218.65
  6. Step 6: Final answer
    x = 3,382.01

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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.