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Finding the Fourth Proportional to 3,584, 5,376.60 and 1,118.44

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Solution

The fourth proportional to 3,584, 5,376.60 and 1,118.44 is: 1,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584 : 5,376.60 = 1,118.44 : x
  2. Step 2: Convert to fraction form
    3,584/5,376.60 = 1,118.44/x
  3. Step 3: Cross multiply
    3,584x = 5,376.60 × 1,118.44
  4. Step 4: Simplify right side
    3,584x = 6,013,404.50
  5. Step 5: Solve for x
    x = 6,013,404.50/3,584
  6. Step 6: Final answer
    x = 1,677.85

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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.