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Finding the Fourth Proportional to 2,572.22, 3,858.34 and 624.43

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Solution

The fourth proportional to 2,572.22, 3,858.34 and 624.43 is: 936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.22 : 3,858.34 = 624.43 : x
  2. Step 2: Convert to fraction form
    2,572.22/3,858.34 = 624.43/x
  3. Step 3: Cross multiply
    2,572.22x = 3,858.34 × 624.43
  4. Step 4: Simplify right side
    2,572.22x = 2,409,263.25
  5. Step 5: Solve for x
    x = 2,409,263.25/2,572.22
  6. Step 6: Final answer
    x = 936.65

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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.