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Finding the Fourth Proportional to 5,238.61, 7,858.79 and 2,430.26

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Solution

The fourth proportional to 5,238.61, 7,858.79 and 2,430.26 is: 3,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.61 : 7,858.79 = 2,430.26 : x
  2. Step 2: Convert to fraction form
    5,238.61/7,858.79 = 2,430.26/x
  3. Step 3: Cross multiply
    5,238.61x = 7,858.79 × 2,430.26
  4. Step 4: Simplify right side
    5,238.61x = 19,098,902.99
  5. Step 5: Solve for x
    x = 19,098,902.99/5,238.61
  6. Step 6: Final answer
    x = 3,645.80

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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.