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Finding the Fourth Proportional to 3,223.74, 4,445.91 and 2,177.22

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Solution

The fourth proportional to 3,223.74, 4,445.91 and 2,177.22 is: 3,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.74 : 4,445.91 = 2,177.22 : x
  2. Step 2: Convert to fraction form
    3,223.74/4,445.91 = 2,177.22/x
  3. Step 3: Cross multiply
    3,223.74x = 4,445.91 × 2,177.22
  4. Step 4: Simplify right side
    3,223.74x = 9,679,724.17
  5. Step 5: Solve for x
    x = 9,679,724.17/3,223.74
  6. Step 6: Final answer
    x = 3,002.64

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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.