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Finding the Fourth Proportional to 4,205.46, 5,804.01 and 2,712.78

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Solution

The fourth proportional to 4,205.46, 5,804.01 and 2,712.78 is: 3,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.46 : 5,804.01 = 2,712.78 : x
  2. Step 2: Convert to fraction form
    4,205.46/5,804.01 = 2,712.78/x
  3. Step 3: Cross multiply
    4,205.46x = 5,804.01 × 2,712.78
  4. Step 4: Simplify right side
    4,205.46x = 15,745,002.25
  5. Step 5: Solve for x
    x = 15,745,002.25/4,205.46
  6. Step 6: Final answer
    x = 3,743.94

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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.