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Finding the Fourth Proportional to 5,737.23, 7,916.41 and 3,379.84

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Solution

The fourth proportional to 5,737.23, 7,916.41 and 3,379.84 is: 4,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.23 : 7,916.41 = 3,379.84 : x
  2. Step 2: Convert to fraction form
    5,737.23/7,916.41 = 3,379.84/x
  3. Step 3: Cross multiply
    5,737.23x = 7,916.41 × 3,379.84
  4. Step 4: Simplify right side
    5,737.23x = 26,756,199.17
  5. Step 5: Solve for x
    x = 26,756,199.17/5,737.23
  6. Step 6: Final answer
    x = 4,663.61

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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.