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Finding the Fourth Proportional to 3,626.64, 5,003.07 and 2,509.13

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Solution

The fourth proportional to 3,626.64, 5,003.07 and 2,509.13 is: 3,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.64 : 5,003.07 = 2,509.13 : x
  2. Step 2: Convert to fraction form
    3,626.64/5,003.07 = 2,509.13/x
  3. Step 3: Cross multiply
    3,626.64x = 5,003.07 × 2,509.13
  4. Step 4: Simplify right side
    3,626.64x = 12,553,356.13
  5. Step 5: Solve for x
    x = 12,553,356.13/3,626.64
  6. Step 6: Final answer
    x = 3,461.43

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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.