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Finding the Fourth Proportional to 3,566.80, 4,921.75 and 1,973.23

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Solution

The fourth proportional to 3,566.80, 4,921.75 and 1,973.23 is: 2,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.80 : 4,921.75 = 1,973.23 : x
  2. Step 2: Convert to fraction form
    3,566.80/4,921.75 = 1,973.23/x
  3. Step 3: Cross multiply
    3,566.80x = 4,921.75 × 1,973.23
  4. Step 4: Simplify right side
    3,566.80x = 9,711,744.75
  5. Step 5: Solve for x
    x = 9,711,744.75/3,566.80
  6. Step 6: Final answer
    x = 2,722.82

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