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Finding the Fourth Proportional to 5,971.29, 8,239.12 and 3,843.46

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Solution

The fourth proportional to 5,971.29, 8,239.12 and 3,843.46 is: 5,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.29 : 8,239.12 = 3,843.46 : x
  2. Step 2: Convert to fraction form
    5,971.29/8,239.12 = 3,843.46/x
  3. Step 3: Cross multiply
    5,971.29x = 8,239.12 × 3,843.46
  4. Step 4: Simplify right side
    5,971.29x = 31,666,728.16
  5. Step 5: Solve for x
    x = 31,666,728.16/5,971.29
  6. Step 6: Final answer
    x = 5,303.16

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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.