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Finding the Fourth Proportional to 3,454.22, 4,768.45 and 2,037.47

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Solution

The fourth proportional to 3,454.22, 4,768.45 and 2,037.47 is: 2,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.22 : 4,768.45 = 2,037.47 : x
  2. Step 2: Convert to fraction form
    3,454.22/4,768.45 = 2,037.47/x
  3. Step 3: Cross multiply
    3,454.22x = 4,768.45 × 2,037.47
  4. Step 4: Simplify right side
    3,454.22x = 9,715,544.89
  5. Step 5: Solve for x
    x = 9,715,544.89/3,454.22
  6. Step 6: Final answer
    x = 2,812.66

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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.