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Finding the Fourth Proportional to 5,241.48, 7,859.70 and 2,465.82

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Solution

The fourth proportional to 5,241.48, 7,859.70 and 2,465.82 is: 3,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.48 : 7,859.70 = 2,465.82 : x
  2. Step 2: Convert to fraction form
    5,241.48/7,859.70 = 2,465.82/x
  3. Step 3: Cross multiply
    5,241.48x = 7,859.70 × 2,465.82
  4. Step 4: Simplify right side
    5,241.48x = 19,380,605.45
  5. Step 5: Solve for x
    x = 19,380,605.45/5,241.48
  6. Step 6: Final answer
    x = 3,697.54

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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.