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Finding the Fourth Proportional to 5,813, 8,010.74 and 3,713.48

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Solution

The fourth proportional to 5,813, 8,010.74 and 3,713.48 is: 5,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813 : 8,010.74 = 3,713.48 : x
  2. Step 2: Convert to fraction form
    5,813/8,010.74 = 3,713.48/x
  3. Step 3: Cross multiply
    5,813x = 8,010.74 × 3,713.48
  4. Step 4: Simplify right side
    5,813x = 29,747,722.78
  5. Step 5: Solve for x
    x = 29,747,722.78/5,813
  6. Step 6: Final answer
    x = 5,117.45

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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.