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Finding the Fourth Proportional to 3,647.98, 5,468.19 and 1,698.58

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Solution

The fourth proportional to 3,647.98, 5,468.19 and 1,698.58 is: 2,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.98 : 5,468.19 = 1,698.58 : x
  2. Step 2: Convert to fraction form
    3,647.98/5,468.19 = 1,698.58/x
  3. Step 3: Cross multiply
    3,647.98x = 5,468.19 × 1,698.58
  4. Step 4: Simplify right side
    3,647.98x = 9,288,158.17
  5. Step 5: Solve for x
    x = 9,288,158.17/3,647.98
  6. Step 6: Final answer
    x = 2,546.11

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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.