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Finding the Fourth Proportional to 3,548.70, 5,315.85 and 2,007.90

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Solution

The fourth proportional to 3,548.70, 5,315.85 and 2,007.90 is: 3,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.70 : 5,315.85 = 2,007.90 : x
  2. Step 2: Convert to fraction form
    3,548.70/5,315.85 = 2,007.90/x
  3. Step 3: Cross multiply
    3,548.70x = 5,315.85 × 2,007.90
  4. Step 4: Simplify right side
    3,548.70x = 10,673,695.22
  5. Step 5: Solve for x
    x = 10,673,695.22/3,548.70
  6. Step 6: Final answer
    x = 3,007.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.