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Finding the Fourth Proportional to 3,714.36, 5,572.74 and 3,199.20

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Solution

The fourth proportional to 3,714.36, 5,572.74 and 3,199.20 is: 4,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.36 : 5,572.74 = 3,199.20 : x
  2. Step 2: Convert to fraction form
    3,714.36/5,572.74 = 3,199.20/x
  3. Step 3: Cross multiply
    3,714.36x = 5,572.74 × 3,199.20
  4. Step 4: Simplify right side
    3,714.36x = 17,828,309.81
  5. Step 5: Solve for x
    x = 17,828,309.81/3,714.36
  6. Step 6: Final answer
    x = 4,799.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.