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Finding the Fourth Proportional to 4,114.99, 5,678.65 and 2,226.53

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Solution

The fourth proportional to 4,114.99, 5,678.65 and 2,226.53 is: 3,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.99 : 5,678.65 = 2,226.53 : x
  2. Step 2: Convert to fraction form
    4,114.99/5,678.65 = 2,226.53/x
  3. Step 3: Cross multiply
    4,114.99x = 5,678.65 × 2,226.53
  4. Step 4: Simplify right side
    4,114.99x = 12,643,692.17
  5. Step 5: Solve for x
    x = 12,643,692.17/4,114.99
  6. Step 6: Final answer
    x = 3,072.59

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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.