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Finding the Fourth Proportional to 3,548.91, 4,896.03 and 2,289.69

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Solution

The fourth proportional to 3,548.91, 4,896.03 and 2,289.69 is: 3,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.91 : 4,896.03 = 2,289.69 : x
  2. Step 2: Convert to fraction form
    3,548.91/4,896.03 = 2,289.69/x
  3. Step 3: Cross multiply
    3,548.91x = 4,896.03 × 2,289.69
  4. Step 4: Simplify right side
    3,548.91x = 11,210,390.93
  5. Step 5: Solve for x
    x = 11,210,390.93/3,548.91
  6. Step 6: Final answer
    x = 3,158.83

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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.