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Finding the Fourth Proportional to 3,533.02, 5,299.71 and 935.98

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Solution

The fourth proportional to 3,533.02, 5,299.71 and 935.98 is: 1,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.02 : 5,299.71 = 935.98 : x
  2. Step 2: Convert to fraction form
    3,533.02/5,299.71 = 935.98/x
  3. Step 3: Cross multiply
    3,533.02x = 5,299.71 × 935.98
  4. Step 4: Simplify right side
    3,533.02x = 4,960,422.57
  5. Step 5: Solve for x
    x = 4,960,422.57/3,533.02
  6. Step 6: Final answer
    x = 1,404.02

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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.