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Finding the Fourth Proportional to 3,577.43, 5,366.03 and 980.36

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Solution

The fourth proportional to 3,577.43, 5,366.03 and 980.36 is: 1,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.43 : 5,366.03 = 980.36 : x
  2. Step 2: Convert to fraction form
    3,577.43/5,366.03 = 980.36/x
  3. Step 3: Cross multiply
    3,577.43x = 5,366.03 × 980.36
  4. Step 4: Simplify right side
    3,577.43x = 5,260,641.17
  5. Step 5: Solve for x
    x = 5,260,641.17/3,577.43
  6. Step 6: Final answer
    x = 1,470.51

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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.