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Finding the Fourth Proportional to 3,767.76, 5,199.72 and 2,589.36

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Solution

The fourth proportional to 3,767.76, 5,199.72 and 2,589.36 is: 3,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.76 : 5,199.72 = 2,589.36 : x
  2. Step 2: Convert to fraction form
    3,767.76/5,199.72 = 2,589.36/x
  3. Step 3: Cross multiply
    3,767.76x = 5,199.72 × 2,589.36
  4. Step 4: Simplify right side
    3,767.76x = 13,463,946.98
  5. Step 5: Solve for x
    x = 13,463,946.98/3,767.76
  6. Step 6: Final answer
    x = 3,573.46

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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.