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Finding the Fourth Proportional to 3,566.54, 4,921.74 and 1,973.15

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Solution

The fourth proportional to 3,566.54, 4,921.74 and 1,973.15 is: 2,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.54 : 4,921.74 = 1,973.15 : x
  2. Step 2: Convert to fraction form
    3,566.54/4,921.74 = 1,973.15/x
  3. Step 3: Cross multiply
    3,566.54x = 4,921.74 × 1,973.15
  4. Step 4: Simplify right side
    3,566.54x = 9,711,306.67
  5. Step 5: Solve for x
    x = 9,711,306.67/3,566.54
  6. Step 6: Final answer
    x = 2,722.90

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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.