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Finding the Fourth Proportional to 5,849.61, 8,073.18 and 3,699.31

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Solution

The fourth proportional to 5,849.61, 8,073.18 and 3,699.31 is: 5,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.61 : 8,073.18 = 3,699.31 : x
  2. Step 2: Convert to fraction form
    5,849.61/8,073.18 = 3,699.31/x
  3. Step 3: Cross multiply
    5,849.61x = 8,073.18 × 3,699.31
  4. Step 4: Simplify right side
    5,849.61x = 29,865,195.51
  5. Step 5: Solve for x
    x = 29,865,195.51/5,849.61
  6. Step 6: Final answer
    x = 5,105.50

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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.