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Finding the Fourth Proportional to 4,387.84, 6,584.24 and 2,439.84

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Solution

The fourth proportional to 4,387.84, 6,584.24 and 2,439.84 is: 3,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.84 : 6,584.24 = 2,439.84 : x
  2. Step 2: Convert to fraction form
    4,387.84/6,584.24 = 2,439.84/x
  3. Step 3: Cross multiply
    4,387.84x = 6,584.24 × 2,439.84
  4. Step 4: Simplify right side
    4,387.84x = 16,064,492.12
  5. Step 5: Solve for x
    x = 16,064,492.12/4,387.84
  6. Step 6: Final answer
    x = 3,661.14

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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.