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Finding the Fourth Proportional to 5,178.24, 7,759.68 and 3,803.52

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Solution

The fourth proportional to 5,178.24, 7,759.68 and 3,803.52 is: 5,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.24 : 7,759.68 = 3,803.52 : x
  2. Step 2: Convert to fraction form
    5,178.24/7,759.68 = 3,803.52/x
  3. Step 3: Cross multiply
    5,178.24x = 7,759.68 × 3,803.52
  4. Step 4: Simplify right side
    5,178.24x = 29,514,079.06
  5. Step 5: Solve for x
    x = 29,514,079.06/5,178.24
  6. Step 6: Final answer
    x = 5,699.64

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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.