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Finding the Fourth Proportional to 3,498.71, 5,240.52 and 1,647.05

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Solution

The fourth proportional to 3,498.71, 5,240.52 and 1,647.05 is: 2,467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.71 : 5,240.52 = 1,647.05 : x
  2. Step 2: Convert to fraction form
    3,498.71/5,240.52 = 1,647.05/x
  3. Step 3: Cross multiply
    3,498.71x = 5,240.52 × 1,647.05
  4. Step 4: Simplify right side
    3,498.71x = 8,631,372.26
  5. Step 5: Solve for x
    x = 8,631,372.26/3,498.71
  6. Step 6: Final answer
    x = 2,467.02

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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.