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Finding the Fourth Proportional to 3,446.58, 4,758.95 and 2,648.64

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Solution

The fourth proportional to 3,446.58, 4,758.95 and 2,648.64 is: 3,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.58 : 4,758.95 = 2,648.64 : x
  2. Step 2: Convert to fraction form
    3,446.58/4,758.95 = 2,648.64/x
  3. Step 3: Cross multiply
    3,446.58x = 4,758.95 × 2,648.64
  4. Step 4: Simplify right side
    3,446.58x = 12,604,745.33
  5. Step 5: Solve for x
    x = 12,604,745.33/3,446.58
  6. Step 6: Final answer
    x = 3,657.17

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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.