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Finding the Fourth Proportional to 5,259.44, 7,878.90 and 3,063.60

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Solution

The fourth proportional to 5,259.44, 7,878.90 and 3,063.60 is: 4,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.44 : 7,878.90 = 3,063.60 : x
  2. Step 2: Convert to fraction form
    5,259.44/7,878.90 = 3,063.60/x
  3. Step 3: Cross multiply
    5,259.44x = 7,878.90 × 3,063.60
  4. Step 4: Simplify right side
    5,259.44x = 24,137,798.04
  5. Step 5: Solve for x
    x = 24,137,798.04/5,259.44
  6. Step 6: Final answer
    x = 4,589.42

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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.