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Finding the Fourth Proportional to 4,667.49, 6,442.38 and 2,754.99

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Solution

The fourth proportional to 4,667.49, 6,442.38 and 2,754.99 is: 3,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.49 : 6,442.38 = 2,754.99 : x
  2. Step 2: Convert to fraction form
    4,667.49/6,442.38 = 2,754.99/x
  3. Step 3: Cross multiply
    4,667.49x = 6,442.38 × 2,754.99
  4. Step 4: Simplify right side
    4,667.49x = 17,748,692.48
  5. Step 5: Solve for x
    x = 17,748,692.48/4,667.49
  6. Step 6: Final answer
    x = 3,802.62

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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.