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Finding the Fourth Proportional to 3,322.74, 4,582.94 and 2,902.20

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Solution

The fourth proportional to 3,322.74, 4,582.94 and 2,902.20 is: 4,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.74 : 4,582.94 = 2,902.20 : x
  2. Step 2: Convert to fraction form
    3,322.74/4,582.94 = 2,902.20/x
  3. Step 3: Cross multiply
    3,322.74x = 4,582.94 × 2,902.20
  4. Step 4: Simplify right side
    3,322.74x = 13,300,608.47
  5. Step 5: Solve for x
    x = 13,300,608.47/3,322.74
  6. Step 6: Final answer
    x = 4,002.90

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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.