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Finding the Fourth Proportional to 3,416.78, 5,126.10 and 1,108.28

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Solution

The fourth proportional to 3,416.78, 5,126.10 and 1,108.28 is: 1,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.78 : 5,126.10 = 1,108.28 : x
  2. Step 2: Convert to fraction form
    3,416.78/5,126.10 = 1,108.28/x
  3. Step 3: Cross multiply
    3,416.78x = 5,126.10 × 1,108.28
  4. Step 4: Simplify right side
    3,416.78x = 5,681,154.11
  5. Step 5: Solve for x
    x = 5,681,154.11/3,416.78
  6. Step 6: Final answer
    x = 1,662.72

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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.