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Finding the Fourth Proportional to 3,462.62, 4,778.40 and 2,046.32

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Solution

The fourth proportional to 3,462.62, 4,778.40 and 2,046.32 is: 2,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.62 : 4,778.40 = 2,046.32 : x
  2. Step 2: Convert to fraction form
    3,462.62/4,778.40 = 2,046.32/x
  3. Step 3: Cross multiply
    3,462.62x = 4,778.40 × 2,046.32
  4. Step 4: Simplify right side
    3,462.62x = 9,778,135.49
  5. Step 5: Solve for x
    x = 9,778,135.49/3,462.62
  6. Step 6: Final answer
    x = 2,823.91

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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.