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Finding the Fourth Proportional to 4,089.48, 5,643.42 and 2,226.48

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Solution

The fourth proportional to 4,089.48, 5,643.42 and 2,226.48 is: 3,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.48 : 5,643.42 = 2,226.48 : x
  2. Step 2: Convert to fraction form
    4,089.48/5,643.42 = 2,226.48/x
  3. Step 3: Cross multiply
    4,089.48x = 5,643.42 × 2,226.48
  4. Step 4: Simplify right side
    4,089.48x = 12,564,961.76
  5. Step 5: Solve for x
    x = 12,564,961.76/4,089.48
  6. Step 6: Final answer
    x = 3,072.51

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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.