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Finding the Fourth Proportional to 5,239.52, 7,859.82 and 1,777.04

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Solution

The fourth proportional to 5,239.52, 7,859.82 and 1,777.04 is: 2,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.52 : 7,859.82 = 1,777.04 : x
  2. Step 2: Convert to fraction form
    5,239.52/7,859.82 = 1,777.04/x
  3. Step 3: Cross multiply
    5,239.52x = 7,859.82 × 1,777.04
  4. Step 4: Simplify right side
    5,239.52x = 13,967,214.53
  5. Step 5: Solve for x
    x = 13,967,214.53/5,239.52
  6. Step 6: Final answer
    x = 2,665.74

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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.