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Finding the Fourth Proportional to 3,563.76, 5,346.48 and 1,098.84

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Solution

The fourth proportional to 3,563.76, 5,346.48 and 1,098.84 is: 1,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.76 : 5,346.48 = 1,098.84 : x
  2. Step 2: Convert to fraction form
    3,563.76/5,346.48 = 1,098.84/x
  3. Step 3: Cross multiply
    3,563.76x = 5,346.48 × 1,098.84
  4. Step 4: Simplify right side
    3,563.76x = 5,874,926.08
  5. Step 5: Solve for x
    x = 5,874,926.08/3,563.76
  6. Step 6: Final answer
    x = 1,648.52

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1.5x scale

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.