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Finding the Fourth Proportional to 4,143.77, 5,714.11 and 3,199.72

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Solution

The fourth proportional to 4,143.77, 5,714.11 and 3,199.72 is: 4,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.77 : 5,714.11 = 3,199.72 : x
  2. Step 2: Convert to fraction form
    4,143.77/5,714.11 = 3,199.72/x
  3. Step 3: Cross multiply
    4,143.77x = 5,714.11 × 3,199.72
  4. Step 4: Simplify right side
    4,143.77x = 18,283,552.48
  5. Step 5: Solve for x
    x = 18,283,552.48/4,143.77
  6. Step 6: Final answer
    x = 4,412.29

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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.