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Finding the Fourth Proportional to 3,523.62, 4,852.68 and 3,447.06

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Solution

The fourth proportional to 3,523.62, 4,852.68 and 3,447.06 is: 4,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.62 : 4,852.68 = 3,447.06 : x
  2. Step 2: Convert to fraction form
    3,523.62/4,852.68 = 3,447.06/x
  3. Step 3: Cross multiply
    3,523.62x = 4,852.68 × 3,447.06
  4. Step 4: Simplify right side
    3,523.62x = 16,727,479.12
  5. Step 5: Solve for x
    x = 16,727,479.12/3,523.62
  6. Step 6: Final answer
    x = 4,747.24

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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.