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Finding the Fourth Proportional to 5,968.75, 8,957.25 and 2,073.16

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Solution

The fourth proportional to 5,968.75, 8,957.25 and 2,073.16 is: 3,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.75 : 8,957.25 = 2,073.16 : x
  2. Step 2: Convert to fraction form
    5,968.75/8,957.25 = 2,073.16/x
  3. Step 3: Cross multiply
    5,968.75x = 8,957.25 × 2,073.16
  4. Step 4: Simplify right side
    5,968.75x = 18,569,812.41
  5. Step 5: Solve for x
    x = 18,569,812.41/5,968.75
  6. Step 6: Final answer
    x = 3,111.17

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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.