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Finding the Fourth Proportional to 3,577.82, 5,367.10 and 980.76

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Solution

The fourth proportional to 3,577.82, 5,367.10 and 980.76 is: 1,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.82 : 5,367.10 = 980.76 : x
  2. Step 2: Convert to fraction form
    3,577.82/5,367.10 = 980.76/x
  3. Step 3: Cross multiply
    3,577.82x = 5,367.10 × 980.76
  4. Step 4: Simplify right side
    3,577.82x = 5,263,837.00
  5. Step 5: Solve for x
    x = 5,263,837.00/3,577.82
  6. Step 6: Final answer
    x = 1,471.24

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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.