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Finding the Fourth Proportional to 3,635.80, 5,014.56 and 3,077.80

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Solution

The fourth proportional to 3,635.80, 5,014.56 and 3,077.80 is: 4,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.80 : 5,014.56 = 3,077.80 : x
  2. Step 2: Convert to fraction form
    3,635.80/5,014.56 = 3,077.80/x
  3. Step 3: Cross multiply
    3,635.80x = 5,014.56 × 3,077.80
  4. Step 4: Simplify right side
    3,635.80x = 15,433,812.77
  5. Step 5: Solve for x
    x = 15,433,812.77/3,635.80
  6. Step 6: Final answer
    x = 4,244.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.