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Finding the Fourth Proportional to 3,626.98, 5,009.34 and 2,446

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Solution

The fourth proportional to 3,626.98, 5,009.34 and 2,446 is: 3,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.98 : 5,009.34 = 2,446 : x
  2. Step 2: Convert to fraction form
    3,626.98/5,009.34 = 2,446/x
  3. Step 3: Cross multiply
    3,626.98x = 5,009.34 × 2,446
  4. Step 4: Simplify right side
    3,626.98x = 12,252,845.64
  5. Step 5: Solve for x
    x = 12,252,845.64/3,626.98
  6. Step 6: Final answer
    x = 3,378.25

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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.