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Finding the Fourth Proportional to 4,953.56, 6,834.17 and 3,038.61

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Solution

The fourth proportional to 4,953.56, 6,834.17 and 3,038.61 is: 4,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.56 : 6,834.17 = 3,038.61 : x
  2. Step 2: Convert to fraction form
    4,953.56/6,834.17 = 3,038.61/x
  3. Step 3: Cross multiply
    4,953.56x = 6,834.17 × 3,038.61
  4. Step 4: Simplify right side
    4,953.56x = 20,766,410.53
  5. Step 5: Solve for x
    x = 20,766,410.53/4,953.56
  6. Step 6: Final answer
    x = 4,192.22

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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.