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Finding the Fourth Proportional to 3,584, 5,376 and 1,532

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Solution

The fourth proportional to 3,584, 5,376 and 1,532 is: 2,298

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584 : 5,376 = 1,532 : x
  2. Step 2: Convert to fraction form
    3,584/5,376 = 1,532/x
  3. Step 3: Cross multiply
    3,584x = 5,376 × 1,532
  4. Step 4: Simplify right side
    3,584x = 8,236,032
  5. Step 5: Solve for x
    x = 8,236,032/3,584
  6. Step 6: Final answer
    x = 2,298

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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.