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Finding the Fourth Proportional to 5,239.82, 7,864.43 and 4,683.65

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Solution

The fourth proportional to 5,239.82, 7,864.43 and 4,683.65 is: 7,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.82 : 7,864.43 = 4,683.65 : x
  2. Step 2: Convert to fraction form
    5,239.82/7,864.43 = 4,683.65/x
  3. Step 3: Cross multiply
    5,239.82x = 7,864.43 × 4,683.65
  4. Step 4: Simplify right side
    5,239.82x = 36,834,174.83
  5. Step 5: Solve for x
    x = 36,834,174.83/5,239.82
  6. Step 6: Final answer
    x = 7,029.66

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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.