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Finding the Fourth Proportional to 3,657.80, 5,483.23 and 1,190.90

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Solution

The fourth proportional to 3,657.80, 5,483.23 and 1,190.90 is: 1,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.80 : 5,483.23 = 1,190.90 : x
  2. Step 2: Convert to fraction form
    3,657.80/5,483.23 = 1,190.90/x
  3. Step 3: Cross multiply
    3,657.80x = 5,483.23 × 1,190.90
  4. Step 4: Simplify right side
    3,657.80x = 6,529,978.61
  5. Step 5: Solve for x
    x = 6,529,978.61/3,657.80
  6. Step 6: Final answer
    x = 1,785.22

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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.