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Finding the Fourth Proportional to 3,498.40, 5,247.60 and 1,648.90

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Solution

The fourth proportional to 3,498.40, 5,247.60 and 1,648.90 is: 2,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.40 : 5,247.60 = 1,648.90 : x
  2. Step 2: Convert to fraction form
    3,498.40/5,247.60 = 1,648.90/x
  3. Step 3: Cross multiply
    3,498.40x = 5,247.60 × 1,648.90
  4. Step 4: Simplify right side
    3,498.40x = 8,652,767.64
  5. Step 5: Solve for x
    x = 8,652,767.64/3,498.40
  6. Step 6: Final answer
    x = 2,473.35

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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.