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Finding the Fourth Proportional to 2,572.42, 3,858.60 and 624.62

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Solution

The fourth proportional to 2,572.42, 3,858.60 and 624.62 is: 936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.42 : 3,858.60 = 624.62 : x
  2. Step 2: Convert to fraction form
    2,572.42/3,858.60 = 624.62/x
  3. Step 3: Cross multiply
    2,572.42x = 3,858.60 × 624.62
  4. Step 4: Simplify right side
    2,572.42x = 2,410,168.38
  5. Step 5: Solve for x
    x = 2,410,168.38/2,572.42
  6. Step 6: Final answer
    x = 936.93

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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.