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Finding the Fourth Proportional to 4,561.36, 6,834.74 and 4,123.96

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Solution

The fourth proportional to 4,561.36, 6,834.74 and 4,123.96 is: 6,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.36 : 6,834.74 = 4,123.96 : x
  2. Step 2: Convert to fraction form
    4,561.36/6,834.74 = 4,123.96/x
  3. Step 3: Cross multiply
    4,561.36x = 6,834.74 × 4,123.96
  4. Step 4: Simplify right side
    4,561.36x = 28,186,156.66
  5. Step 5: Solve for x
    x = 28,186,156.66/4,561.36
  6. Step 6: Final answer
    x = 6,179.34

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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.