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Finding the Fourth Proportional to 3,424.96, 5,138.20 and 1,085.10

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Solution

The fourth proportional to 3,424.96, 5,138.20 and 1,085.10 is: 1,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.96 : 5,138.20 = 1,085.10 : x
  2. Step 2: Convert to fraction form
    3,424.96/5,138.20 = 1,085.10/x
  3. Step 3: Cross multiply
    3,424.96x = 5,138.20 × 1,085.10
  4. Step 4: Simplify right side
    3,424.96x = 5,575,460.82
  5. Step 5: Solve for x
    x = 5,575,460.82/3,424.96
  6. Step 6: Final answer
    x = 1,627.89

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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.