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Finding the Fourth Proportional to 4,389.62, 6,584.43 and 2,048.84

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Solution

The fourth proportional to 4,389.62, 6,584.43 and 2,048.84 is: 3,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,389.62 : 6,584.43 = 2,048.84 : x
  2. Step 2: Convert to fraction form
    4,389.62/6,584.43 = 2,048.84/x
  3. Step 3: Cross multiply
    4,389.62x = 6,584.43 × 2,048.84
  4. Step 4: Simplify right side
    4,389.62x = 13,490,449.78
  5. Step 5: Solve for x
    x = 13,490,449.78/4,389.62
  6. Step 6: Final answer
    x = 3,073.26

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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.