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Finding the Fourth Proportional to 4,123.62, 6,181.71 and 1,524.74

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Solution

The fourth proportional to 4,123.62, 6,181.71 and 1,524.74 is: 2,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.62 : 6,181.71 = 1,524.74 : x
  2. Step 2: Convert to fraction form
    4,123.62/6,181.71 = 1,524.74/x
  3. Step 3: Cross multiply
    4,123.62x = 6,181.71 × 1,524.74
  4. Step 4: Simplify right side
    4,123.62x = 9,425,500.51
  5. Step 5: Solve for x
    x = 9,425,500.51/4,123.62
  6. Step 6: Final answer
    x = 2,285.73

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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.