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Finding the Fourth Proportional to 5,486.43, 8,230.83 and 1,788.57

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Solution

The fourth proportional to 5,486.43, 8,230.83 and 1,788.57 is: 2,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.43 : 8,230.83 = 1,788.57 : x
  2. Step 2: Convert to fraction form
    5,486.43/8,230.83 = 1,788.57/x
  3. Step 3: Cross multiply
    5,486.43x = 8,230.83 × 1,788.57
  4. Step 4: Simplify right side
    5,486.43x = 14,721,415.61
  5. Step 5: Solve for x
    x = 14,721,415.61/5,486.43
  6. Step 6: Final answer
    x = 2,683.24

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Why These Related Problems?

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