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Finding the Fourth Proportional to 5,199.52, 7,805.04 and 3,655.84

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Solution

The fourth proportional to 5,199.52, 7,805.04 and 3,655.84 is: 5,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.52 : 7,805.04 = 3,655.84 : x
  2. Step 2: Convert to fraction form
    5,199.52/7,805.04 = 3,655.84/x
  3. Step 3: Cross multiply
    5,199.52x = 7,805.04 × 3,655.84
  4. Step 4: Simplify right side
    5,199.52x = 28,533,977.43
  5. Step 5: Solve for x
    x = 28,533,977.43/5,199.52
  6. Step 6: Final answer
    x = 5,487.81

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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.