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Finding the Fourth Proportional to 3,362.72, 5,043.51 and 897.80

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Solution

The fourth proportional to 3,362.72, 5,043.51 and 897.80 is: 1,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.72 : 5,043.51 = 897.80 : x
  2. Step 2: Convert to fraction form
    3,362.72/5,043.51 = 897.80/x
  3. Step 3: Cross multiply
    3,362.72x = 5,043.51 × 897.80
  4. Step 4: Simplify right side
    3,362.72x = 4,528,063.28
  5. Step 5: Solve for x
    x = 4,528,063.28/3,362.72
  6. Step 6: Final answer
    x = 1,346.55

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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.