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Finding the Fourth Proportional to 5,319.86, 7,963.32 and 4,532.54

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Solution

The fourth proportional to 5,319.86, 7,963.32 and 4,532.54 is: 6,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.86 : 7,963.32 = 4,532.54 : x
  2. Step 2: Convert to fraction form
    5,319.86/7,963.32 = 4,532.54/x
  3. Step 3: Cross multiply
    5,319.86x = 7,963.32 × 4,532.54
  4. Step 4: Simplify right side
    5,319.86x = 36,094,066.43
  5. Step 5: Solve for x
    x = 36,094,066.43/5,319.86
  6. Step 6: Final answer
    x = 6,784.78

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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.