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Finding the Fourth Proportional to 3,532, 5,298 and 1,100

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Solution

The fourth proportional to 3,532, 5,298 and 1,100 is: 1,650

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532 : 5,298 = 1,100 : x
  2. Step 2: Convert to fraction form
    3,532/5,298 = 1,100/x
  3. Step 3: Cross multiply
    3,532x = 5,298 × 1,100
  4. Step 4: Simplify right side
    3,532x = 5,827,800
  5. Step 5: Solve for x
    x = 5,827,800/3,532
  6. Step 6: Final answer
    x = 1,650

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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.