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Finding the Fourth Proportional to 4,129.78, 5,699.10 and 2,266.78

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Solution

The fourth proportional to 4,129.78, 5,699.10 and 2,266.78 is: 3,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.78 : 5,699.10 = 2,266.78 : x
  2. Step 2: Convert to fraction form
    4,129.78/5,699.10 = 2,266.78/x
  3. Step 3: Cross multiply
    4,129.78x = 5,699.10 × 2,266.78
  4. Step 4: Simplify right side
    4,129.78x = 12,918,605.90
  5. Step 5: Solve for x
    x = 12,918,605.90/4,129.78
  6. Step 6: Final answer
    x = 3,128.16

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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.