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Finding the Fourth Proportional to 3,577.77, 5,366.65 and 980.91

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Solution

The fourth proportional to 3,577.77, 5,366.65 and 980.91 is: 1,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.77 : 5,366.65 = 980.91 : x
  2. Step 2: Convert to fraction form
    3,577.77/5,366.65 = 980.91/x
  3. Step 3: Cross multiply
    3,577.77x = 5,366.65 × 980.91
  4. Step 4: Simplify right side
    3,577.77x = 5,264,200.65
  5. Step 5: Solve for x
    x = 5,264,200.65/3,577.77
  6. Step 6: Final answer
    x = 1,471.36

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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.