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Finding the Fourth Proportional to 3,362.17, 5,043.50 and 896.98

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Solution

The fourth proportional to 3,362.17, 5,043.50 and 896.98 is: 1,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.17 : 5,043.50 = 896.98 : x
  2. Step 2: Convert to fraction form
    3,362.17/5,043.50 = 896.98/x
  3. Step 3: Cross multiply
    3,362.17x = 5,043.50 × 896.98
  4. Step 4: Simplify right side
    3,362.17x = 4,523,918.63
  5. Step 5: Solve for x
    x = 4,523,918.63/3,362.17
  6. Step 6: Final answer
    x = 1,345.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.