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Finding the Fourth Proportional to 5,158.76, 7,738.16 and 1,696

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Solution

The fourth proportional to 5,158.76, 7,738.16 and 1,696 is: 2,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.76 : 7,738.16 = 1,696 : x
  2. Step 2: Convert to fraction form
    5,158.76/7,738.16 = 1,696/x
  3. Step 3: Cross multiply
    5,158.76x = 7,738.16 × 1,696
  4. Step 4: Simplify right side
    5,158.76x = 13,123,919.36
  5. Step 5: Solve for x
    x = 13,123,919.36/5,158.76
  6. Step 6: Final answer
    x = 2,544.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.