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Finding the Fourth Proportional to 3,486.80, 4,811.64 and 2,226.08

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Solution

The fourth proportional to 3,486.80, 4,811.64 and 2,226.08 is: 3,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.80 : 4,811.64 = 2,226.08 : x
  2. Step 2: Convert to fraction form
    3,486.80/4,811.64 = 2,226.08/x
  3. Step 3: Cross multiply
    3,486.80x = 4,811.64 × 2,226.08
  4. Step 4: Simplify right side
    3,486.80x = 10,711,095.57
  5. Step 5: Solve for x
    x = 10,711,095.57/3,486.80
  6. Step 6: Final answer
    x = 3,071.90

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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.