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Finding the Fourth Proportional to 3,603.92, 5,405.67 and 1,264.03

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Solution

The fourth proportional to 3,603.92, 5,405.67 and 1,264.03 is: 1,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.92 : 5,405.67 = 1,264.03 : x
  2. Step 2: Convert to fraction form
    3,603.92/5,405.67 = 1,264.03/x
  3. Step 3: Cross multiply
    3,603.92x = 5,405.67 × 1,264.03
  4. Step 4: Simplify right side
    3,603.92x = 6,832,915.54
  5. Step 5: Solve for x
    x = 6,832,915.54/3,603.92
  6. Step 6: Final answer
    x = 1,895.97

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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.