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Finding the Fourth Proportional to 5,196.16, 7,794.24 and 2,424.77

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Solution

The fourth proportional to 5,196.16, 7,794.24 and 2,424.77 is: 3,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.16 : 7,794.24 = 2,424.77 : x
  2. Step 2: Convert to fraction form
    5,196.16/7,794.24 = 2,424.77/x
  3. Step 3: Cross multiply
    5,196.16x = 7,794.24 × 2,424.77
  4. Step 4: Simplify right side
    5,196.16x = 18,899,227.20
  5. Step 5: Solve for x
    x = 18,899,227.20/5,196.16
  6. Step 6: Final answer
    x = 3,637.16

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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.