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Finding the Fourth Proportional to 5,830.14, 8,737.40 and 3,193.66

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Solution

The fourth proportional to 5,830.14, 8,737.40 and 3,193.66 is: 4,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.14 : 8,737.40 = 3,193.66 : x
  2. Step 2: Convert to fraction form
    5,830.14/8,737.40 = 3,193.66/x
  3. Step 3: Cross multiply
    5,830.14x = 8,737.40 × 3,193.66
  4. Step 4: Simplify right side
    5,830.14x = 27,904,303.79
  5. Step 5: Solve for x
    x = 27,904,303.79/5,830.14
  6. Step 6: Final answer
    x = 4,786.21

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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.