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Finding the Fourth Proportional to 5,313.84, 7,970.82 and 2,539.86

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Solution

The fourth proportional to 5,313.84, 7,970.82 and 2,539.86 is: 3,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.84 : 7,970.82 = 2,539.86 : x
  2. Step 2: Convert to fraction form
    5,313.84/7,970.82 = 2,539.86/x
  3. Step 3: Cross multiply
    5,313.84x = 7,970.82 × 2,539.86
  4. Step 4: Simplify right side
    5,313.84x = 20,244,766.89
  5. Step 5: Solve for x
    x = 20,244,766.89/5,313.84
  6. Step 6: Final answer
    x = 3,809.82

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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.