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Finding the Fourth Proportional to 7,282.50, 10,049.86 and 3,970.50

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Solution

The fourth proportional to 7,282.50, 10,049.86 and 3,970.50 is: 5,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.50 : 10,049.86 = 3,970.50 : x
  2. Step 2: Convert to fraction form
    7,282.50/10,049.86 = 3,970.50/x
  3. Step 3: Cross multiply
    7,282.50x = 10,049.86 × 3,970.50
  4. Step 4: Simplify right side
    7,282.50x = 39,902,969.13
  5. Step 5: Solve for x
    x = 39,902,969.13/7,282.50
  6. Step 6: Final answer
    x = 5,479.30

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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.