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Finding the Fourth Proportional to 5,178.30, 7,759.77 and 3,803.58

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Solution

The fourth proportional to 5,178.30, 7,759.77 and 3,803.58 is: 5,699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.30 : 7,759.77 = 3,803.58 : x
  2. Step 2: Convert to fraction form
    5,178.30/7,759.77 = 3,803.58/x
  3. Step 3: Cross multiply
    5,178.30x = 7,759.77 × 3,803.58
  4. Step 4: Simplify right side
    5,178.30x = 29,514,905.98
  5. Step 5: Solve for x
    x = 29,514,905.98/5,178.30
  6. Step 6: Final answer
    x = 5,699.73

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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.