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Finding the Fourth Proportional to 5,755.59, 7,942.86 and 3,658.50

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Solution

The fourth proportional to 5,755.59, 7,942.86 and 3,658.50 is: 5,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.59 : 7,942.86 = 3,658.50 : x
  2. Step 2: Convert to fraction form
    5,755.59/7,942.86 = 3,658.50/x
  3. Step 3: Cross multiply
    5,755.59x = 7,942.86 × 3,658.50
  4. Step 4: Simplify right side
    5,755.59x = 29,058,953.31
  5. Step 5: Solve for x
    x = 29,058,953.31/5,755.59
  6. Step 6: Final answer
    x = 5,048.82

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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.