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Finding the Fourth Proportional to 3,362.34, 5,043.50 and 897.17

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Solution

The fourth proportional to 3,362.34, 5,043.50 and 897.17 is: 1,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.34 : 5,043.50 = 897.17 : x
  2. Step 2: Convert to fraction form
    3,362.34/5,043.50 = 897.17/x
  3. Step 3: Cross multiply
    3,362.34x = 5,043.50 × 897.17
  4. Step 4: Simplify right side
    3,362.34x = 4,524,876.90
  5. Step 5: Solve for x
    x = 4,524,876.90/3,362.34
  6. Step 6: Final answer
    x = 1,345.75

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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.