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Finding the Fourth Proportional to 5,192.94, 7,798.06 and 5,152.62

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Solution

The fourth proportional to 5,192.94, 7,798.06 and 5,152.62 is: 7,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.94 : 7,798.06 = 5,152.62 : x
  2. Step 2: Convert to fraction form
    5,192.94/7,798.06 = 5,152.62/x
  3. Step 3: Cross multiply
    5,192.94x = 7,798.06 × 5,152.62
  4. Step 4: Simplify right side
    5,192.94x = 40,180,439.92
  5. Step 5: Solve for x
    x = 40,180,439.92/5,192.94
  6. Step 6: Final answer
    x = 7,737.51

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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.