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Finding the Fourth Proportional to 5,241.61, 7,859.02 and 2,777.59

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Solution

The fourth proportional to 5,241.61, 7,859.02 and 2,777.59 is: 4,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.61 : 7,859.02 = 2,777.59 : x
  2. Step 2: Convert to fraction form
    5,241.61/7,859.02 = 2,777.59/x
  3. Step 3: Cross multiply
    5,241.61x = 7,859.02 × 2,777.59
  4. Step 4: Simplify right side
    5,241.61x = 21,829,135.36
  5. Step 5: Solve for x
    x = 21,829,135.36/5,241.61
  6. Step 6: Final answer
    x = 4,164.59

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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.