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Finding the Fourth Proportional to 4,561.78, 6,846 and 3,524.38

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Solution

The fourth proportional to 4,561.78, 6,846 and 3,524.38 is: 5,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.78 : 6,846 = 3,524.38 : x
  2. Step 2: Convert to fraction form
    4,561.78/6,846 = 3,524.38/x
  3. Step 3: Cross multiply
    4,561.78x = 6,846 × 3,524.38
  4. Step 4: Simplify right side
    4,561.78x = 24,127,905.48
  5. Step 5: Solve for x
    x = 24,127,905.48/4,561.78
  6. Step 6: Final answer
    x = 5,289.14

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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.