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Finding the Fourth Proportional to 3,626.64, 5,003.55 and 2,300.16

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Solution

The fourth proportional to 3,626.64, 5,003.55 and 2,300.16 is: 3,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.64 : 5,003.55 = 2,300.16 : x
  2. Step 2: Convert to fraction form
    3,626.64/5,003.55 = 2,300.16/x
  3. Step 3: Cross multiply
    3,626.64x = 5,003.55 × 2,300.16
  4. Step 4: Simplify right side
    3,626.64x = 11,508,965.57
  5. Step 5: Solve for x
    x = 11,508,965.57/3,626.64
  6. Step 6: Final answer
    x = 3,173.45

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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.