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Finding the Fourth Proportional to 5,688.39, 7,846.98 and 3,916.92

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Solution

The fourth proportional to 5,688.39, 7,846.98 and 3,916.92 is: 5,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.39 : 7,846.98 = 3,916.92 : x
  2. Step 2: Convert to fraction form
    5,688.39/7,846.98 = 3,916.92/x
  3. Step 3: Cross multiply
    5,688.39x = 7,846.98 × 3,916.92
  4. Step 4: Simplify right side
    5,688.39x = 30,735,992.90
  5. Step 5: Solve for x
    x = 30,735,992.90/5,688.39
  6. Step 6: Final answer
    x = 5,403.29

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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.