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Finding the Fourth Proportional to 5,966.75, 8,954.25 and 2,071.16

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Solution

The fourth proportional to 5,966.75, 8,954.25 and 2,071.16 is: 3,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.75 : 8,954.25 = 2,071.16 : x
  2. Step 2: Convert to fraction form
    5,966.75/8,954.25 = 2,071.16/x
  3. Step 3: Cross multiply
    5,966.75x = 8,954.25 × 2,071.16
  4. Step 4: Simplify right side
    5,966.75x = 18,545,684.43
  5. Step 5: Solve for x
    x = 18,545,684.43/5,966.75
  6. Step 6: Final answer
    x = 3,108.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.