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Finding the Fourth Proportional to 3,553.32, 5,330.82 and 1,362

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Solution

The fourth proportional to 3,553.32, 5,330.82 and 1,362 is: 2,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.32 : 5,330.82 = 1,362 : x
  2. Step 2: Convert to fraction form
    3,553.32/5,330.82 = 1,362/x
  3. Step 3: Cross multiply
    3,553.32x = 5,330.82 × 1,362
  4. Step 4: Simplify right side
    3,553.32x = 7,260,576.84
  5. Step 5: Solve for x
    x = 7,260,576.84/3,553.32
  6. Step 6: Final answer
    x = 2,043.32

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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.