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Finding the Fourth Proportional to 3,738.61, 5,153.90 and 2,616.07

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Solution

The fourth proportional to 3,738.61, 5,153.90 and 2,616.07 is: 3,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.61 : 5,153.90 = 2,616.07 : x
  2. Step 2: Convert to fraction form
    3,738.61/5,153.90 = 2,616.07/x
  3. Step 3: Cross multiply
    3,738.61x = 5,153.90 × 2,616.07
  4. Step 4: Simplify right side
    3,738.61x = 13,482,950.09
  5. Step 5: Solve for x
    x = 13,482,950.09/3,738.61
  6. Step 6: Final answer
    x = 3,606.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.