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Finding the Fourth Proportional to 6,261.14, 8,640.03 and 3,427.95

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Solution

The fourth proportional to 6,261.14, 8,640.03 and 3,427.95 is: 4,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.14 : 8,640.03 = 3,427.95 : x
  2. Step 2: Convert to fraction form
    6,261.14/8,640.03 = 3,427.95/x
  3. Step 3: Cross multiply
    6,261.14x = 8,640.03 × 3,427.95
  4. Step 4: Simplify right side
    6,261.14x = 29,617,590.84
  5. Step 5: Solve for x
    x = 29,617,590.84/6,261.14
  6. Step 6: Final answer
    x = 4,730.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.