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Finding the Fourth Proportional to 4,117.70, 5,678.66 and 3,522.44

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Solution

The fourth proportional to 4,117.70, 5,678.66 and 3,522.44 is: 4,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.70 : 5,678.66 = 3,522.44 : x
  2. Step 2: Convert to fraction form
    4,117.70/5,678.66 = 3,522.44/x
  3. Step 3: Cross multiply
    4,117.70x = 5,678.66 × 3,522.44
  4. Step 4: Simplify right side
    4,117.70x = 20,002,739.13
  5. Step 5: Solve for x
    x = 20,002,739.13/4,117.70
  6. Step 6: Final answer
    x = 4,857.75

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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.