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Finding the Fourth Proportional to 4,970.53, 6,859.49 and 2,732.50

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Solution

The fourth proportional to 4,970.53, 6,859.49 and 2,732.50 is: 3,770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.53 : 6,859.49 = 2,732.50 : x
  2. Step 2: Convert to fraction form
    4,970.53/6,859.49 = 2,732.50/x
  3. Step 3: Cross multiply
    4,970.53x = 6,859.49 × 2,732.50
  4. Step 4: Simplify right side
    4,970.53x = 18,743,539.69
  5. Step 5: Solve for x
    x = 18,743,539.69/4,970.53
  6. Step 6: Final answer
    x = 3,770.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.