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Finding the Fourth Proportional to 5,913.43, 8,856.77 and 4,586.56

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Solution

The fourth proportional to 5,913.43, 8,856.77 and 4,586.56 is: 6,869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.43 : 8,856.77 = 4,586.56 : x
  2. Step 2: Convert to fraction form
    5,913.43/8,856.77 = 4,586.56/x
  3. Step 3: Cross multiply
    5,913.43x = 8,856.77 × 4,586.56
  4. Step 4: Simplify right side
    5,913.43x = 40,622,061.94
  5. Step 5: Solve for x
    x = 40,622,061.94/5,913.43
  6. Step 6: Final answer
    x = 6,869.46

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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.