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Finding the Fourth Proportional to 3,538.66, 4,885.62 and 2,280.22

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Solution

The fourth proportional to 3,538.66, 4,885.62 and 2,280.22 is: 3,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.66 : 4,885.62 = 2,280.22 : x
  2. Step 2: Convert to fraction form
    3,538.66/4,885.62 = 2,280.22/x
  3. Step 3: Cross multiply
    3,538.66x = 4,885.62 × 2,280.22
  4. Step 4: Simplify right side
    3,538.66x = 11,140,288.44
  5. Step 5: Solve for x
    x = 11,140,288.44/3,538.66
  6. Step 6: Final answer
    x = 3,148.17

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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.