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Finding the Fourth Proportional to 3,714.78, 5,567.28 and 2,072.10

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Solution

The fourth proportional to 3,714.78, 5,567.28 and 2,072.10 is: 3,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.78 : 5,567.28 = 2,072.10 : x
  2. Step 2: Convert to fraction form
    3,714.78/5,567.28 = 2,072.10/x
  3. Step 3: Cross multiply
    3,714.78x = 5,567.28 × 2,072.10
  4. Step 4: Simplify right side
    3,714.78x = 11,535,960.89
  5. Step 5: Solve for x
    x = 11,535,960.89/3,714.78
  6. Step 6: Final answer
    x = 3,105.42

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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.