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Finding the Fourth Proportional to 5,578.86, 8,381.38 and 5,263.64

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Solution

The fourth proportional to 5,578.86, 8,381.38 and 5,263.64 is: 7,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.86 : 8,381.38 = 5,263.64 : x
  2. Step 2: Convert to fraction form
    5,578.86/8,381.38 = 5,263.64/x
  3. Step 3: Cross multiply
    5,578.86x = 8,381.38 × 5,263.64
  4. Step 4: Simplify right side
    5,578.86x = 44,116,567.02
  5. Step 5: Solve for x
    x = 44,116,567.02/5,578.86
  6. Step 6: Final answer
    x = 7,907.81

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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.