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Finding the Fourth Proportional to 3,740.77, 5,567 and 3,616.20

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Solution

The fourth proportional to 3,740.77, 5,567 and 3,616.20 is: 5,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.77 : 5,567 = 3,616.20 : x
  2. Step 2: Convert to fraction form
    3,740.77/5,567 = 3,616.20/x
  3. Step 3: Cross multiply
    3,740.77x = 5,567 × 3,616.20
  4. Step 4: Simplify right side
    3,740.77x = 20,131,385.40
  5. Step 5: Solve for x
    x = 20,131,385.40/3,740.77
  6. Step 6: Final answer
    x = 5,381.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.