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Finding the Fourth Proportional to 5,971.77, 8,242.29 and 4,087.17

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Solution

The fourth proportional to 5,971.77, 8,242.29 and 4,087.17 is: 5,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.77 : 8,242.29 = 4,087.17 : x
  2. Step 2: Convert to fraction form
    5,971.77/8,242.29 = 4,087.17/x
  3. Step 3: Cross multiply
    5,971.77x = 8,242.29 × 4,087.17
  4. Step 4: Simplify right side
    5,971.77x = 33,687,640.42
  5. Step 5: Solve for x
    x = 33,687,640.42/5,971.77
  6. Step 6: Final answer
    x = 5,641.15

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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.