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Finding the Fourth Proportional to 5,025.78, 6,935.57 and 2,788

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Solution

The fourth proportional to 5,025.78, 6,935.57 and 2,788 is: 3,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,025.78 : 6,935.57 = 2,788 : x
  2. Step 2: Convert to fraction form
    5,025.78/6,935.57 = 2,788/x
  3. Step 3: Cross multiply
    5,025.78x = 6,935.57 × 2,788
  4. Step 4: Simplify right side
    5,025.78x = 19,336,369.16
  5. Step 5: Solve for x
    x = 19,336,369.16/5,025.78
  6. Step 6: Final answer
    x = 3,847.44

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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.