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Finding the Fourth Proportional to 5,239.15, 7,852.02 and 2,459.68

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Solution

The fourth proportional to 5,239.15, 7,852.02 and 2,459.68 is: 3,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.15 : 7,852.02 = 2,459.68 : x
  2. Step 2: Convert to fraction form
    5,239.15/7,852.02 = 2,459.68/x
  3. Step 3: Cross multiply
    5,239.15x = 7,852.02 × 2,459.68
  4. Step 4: Simplify right side
    5,239.15x = 19,313,456.55
  5. Step 5: Solve for x
    x = 19,313,456.55/5,239.15
  6. Step 6: Final answer
    x = 3,686.37

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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.