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Finding the Fourth Proportional to 2,572.38, 3,858.55 and 624.59

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Solution

The fourth proportional to 2,572.38, 3,858.55 and 624.59 is: 936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.38 : 3,858.55 = 624.59 : x
  2. Step 2: Convert to fraction form
    2,572.38/3,858.55 = 624.59/x
  3. Step 3: Cross multiply
    2,572.38x = 3,858.55 × 624.59
  4. Step 4: Simplify right side
    2,572.38x = 2,410,005.36
  5. Step 5: Solve for x
    x = 2,410,005.36/2,572.38
  6. Step 6: Final answer
    x = 936.88

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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.