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Finding the Fourth Proportional to 3,486.90, 4,807.98 and 2,226.30

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Solution

The fourth proportional to 3,486.90, 4,807.98 and 2,226.30 is: 3,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.90 : 4,807.98 = 2,226.30 : x
  2. Step 2: Convert to fraction form
    3,486.90/4,807.98 = 2,226.30/x
  3. Step 3: Cross multiply
    3,486.90x = 4,807.98 × 2,226.30
  4. Step 4: Simplify right side
    3,486.90x = 10,704,005.87
  5. Step 5: Solve for x
    x = 10,704,005.87/3,486.90
  6. Step 6: Final answer
    x = 3,069.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.