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Finding the Fourth Proportional to 3,655.26, 5,478.12 and 3,191.94

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Solution

The fourth proportional to 3,655.26, 5,478.12 and 3,191.94 is: 4,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.26 : 5,478.12 = 3,191.94 : x
  2. Step 2: Convert to fraction form
    3,655.26/5,478.12 = 3,191.94/x
  3. Step 3: Cross multiply
    3,655.26x = 5,478.12 × 3,191.94
  4. Step 4: Simplify right side
    3,655.26x = 17,485,830.35
  5. Step 5: Solve for x
    x = 17,485,830.35/3,655.26
  6. Step 6: Final answer
    x = 4,783.74

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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.