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Finding the Fourth Proportional to 5,896.70, 8,833.51 and 3,549.77

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Solution

The fourth proportional to 5,896.70, 8,833.51 and 3,549.77 is: 5,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.70 : 8,833.51 = 3,549.77 : x
  2. Step 2: Convert to fraction form
    5,896.70/8,833.51 = 3,549.77/x
  3. Step 3: Cross multiply
    5,896.70x = 8,833.51 × 3,549.77
  4. Step 4: Simplify right side
    5,896.70x = 31,356,951.91
  5. Step 5: Solve for x
    x = 31,356,951.91/5,896.70
  6. Step 6: Final answer
    x = 5,317.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.