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Finding the Fourth Proportional to 5,294.22, 7,967.93 and 3,984.76

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Solution

The fourth proportional to 5,294.22, 7,967.93 and 3,984.76 is: 5,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.22 : 7,967.93 = 3,984.76 : x
  2. Step 2: Convert to fraction form
    5,294.22/7,967.93 = 3,984.76/x
  3. Step 3: Cross multiply
    5,294.22x = 7,967.93 × 3,984.76
  4. Step 4: Simplify right side
    5,294.22x = 31,750,288.75
  5. Step 5: Solve for x
    x = 31,750,288.75/5,294.22
  6. Step 6: Final answer
    x = 5,997.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.