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Finding the Fourth Proportional to 3,446.16, 4,758.37 and 2,648.22

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Solution

The fourth proportional to 3,446.16, 4,758.37 and 2,648.22 is: 3,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.16 : 4,758.37 = 2,648.22 : x
  2. Step 2: Convert to fraction form
    3,446.16/4,758.37 = 2,648.22/x
  3. Step 3: Cross multiply
    3,446.16x = 4,758.37 × 2,648.22
  4. Step 4: Simplify right side
    3,446.16x = 12,601,210.60
  5. Step 5: Solve for x
    x = 12,601,210.60/3,446.16
  6. Step 6: Final answer
    x = 3,656.59

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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.