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Finding the Fourth Proportional to 3,454.05, 4,767.66 and 3,277.70

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Solution

The fourth proportional to 3,454.05, 4,767.66 and 3,277.70 is: 4,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.05 : 4,767.66 = 3,277.70 : x
  2. Step 2: Convert to fraction form
    3,454.05/4,767.66 = 3,277.70/x
  3. Step 3: Cross multiply
    3,454.05x = 4,767.66 × 3,277.70
  4. Step 4: Simplify right side
    3,454.05x = 15,626,935.34
  5. Step 5: Solve for x
    x = 15,626,935.34/3,454.05
  6. Step 6: Final answer
    x = 4,524.24

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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.