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Finding the Fourth Proportional to 5,747.95, 7,935.33 and 5,411.80

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Solution

The fourth proportional to 5,747.95, 7,935.33 and 5,411.80 is: 7,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.95 : 7,935.33 = 5,411.80 : x
  2. Step 2: Convert to fraction form
    5,747.95/7,935.33 = 5,411.80/x
  3. Step 3: Cross multiply
    5,747.95x = 7,935.33 × 5,411.80
  4. Step 4: Simplify right side
    5,747.95x = 42,944,418.89
  5. Step 5: Solve for x
    x = 42,944,418.89/5,747.95
  6. Step 6: Final answer
    x = 7,471.26

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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.