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Finding the Fourth Proportional to 6,192.84, 8,545.86 and 3,398.16

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Solution

The fourth proportional to 6,192.84, 8,545.86 and 3,398.16 is: 4,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.84 : 8,545.86 = 3,398.16 : x
  2. Step 2: Convert to fraction form
    6,192.84/8,545.86 = 3,398.16/x
  3. Step 3: Cross multiply
    6,192.84x = 8,545.86 × 3,398.16
  4. Step 4: Simplify right side
    6,192.84x = 29,040,199.62
  5. Step 5: Solve for x
    x = 29,040,199.62/6,192.84
  6. Step 6: Final answer
    x = 4,689.32

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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.