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Finding the Fourth Proportional to 5,702.46, 8,552.07 and 3,619.32

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Solution

The fourth proportional to 5,702.46, 8,552.07 and 3,619.32 is: 5,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.46 : 8,552.07 = 3,619.32 : x
  2. Step 2: Convert to fraction form
    5,702.46/8,552.07 = 3,619.32/x
  3. Step 3: Cross multiply
    5,702.46x = 8,552.07 × 3,619.32
  4. Step 4: Simplify right side
    5,702.46x = 30,952,677.99
  5. Step 5: Solve for x
    x = 30,952,677.99/5,702.46
  6. Step 6: Final answer
    x = 5,427.95

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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.