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Finding the Fourth Proportional to 3,340.64, 5,011.54 and 1,148.85

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Solution

The fourth proportional to 3,340.64, 5,011.54 and 1,148.85 is: 1,723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.64 : 5,011.54 = 1,148.85 : x
  2. Step 2: Convert to fraction form
    3,340.64/5,011.54 = 1,148.85/x
  3. Step 3: Cross multiply
    3,340.64x = 5,011.54 × 1,148.85
  4. Step 4: Simplify right side
    3,340.64x = 5,757,504.86
  5. Step 5: Solve for x
    x = 5,757,504.86/3,340.64
  6. Step 6: Final answer
    x = 1,723.47

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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.