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Finding the Fourth Proportional to 3,564.40, 5,349 and 1,616.80

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Solution

The fourth proportional to 3,564.40, 5,349 and 1,616.80 is: 2,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.40 : 5,349 = 1,616.80 : x
  2. Step 2: Convert to fraction form
    3,564.40/5,349 = 1,616.80/x
  3. Step 3: Cross multiply
    3,564.40x = 5,349 × 1,616.80
  4. Step 4: Simplify right side
    3,564.40x = 8,648,263.20
  5. Step 5: Solve for x
    x = 8,648,263.20/3,564.40
  6. Step 6: Final answer
    x = 2,426.29

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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.