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Finding the Fourth Proportional to 5,264.29, 7,266.99 and 3,769.62

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Solution

The fourth proportional to 5,264.29, 7,266.99 and 3,769.62 is: 5,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.29 : 7,266.99 = 3,769.62 : x
  2. Step 2: Convert to fraction form
    5,264.29/7,266.99 = 3,769.62/x
  3. Step 3: Cross multiply
    5,264.29x = 7,266.99 × 3,769.62
  4. Step 4: Simplify right side
    5,264.29x = 27,393,790.84
  5. Step 5: Solve for x
    x = 27,393,790.84/5,264.29
  6. Step 6: Final answer
    x = 5,203.70

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1.5x scale

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.