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Finding the Fourth Proportional to 5,971.50, 8,957.25 and 2,323.50

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Solution

The fourth proportional to 5,971.50, 8,957.25 and 2,323.50 is: 3,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.50 : 8,957.25 = 2,323.50 : x
  2. Step 2: Convert to fraction form
    5,971.50/8,957.25 = 2,323.50/x
  3. Step 3: Cross multiply
    5,971.50x = 8,957.25 × 2,323.50
  4. Step 4: Simplify right side
    5,971.50x = 20,812,170.38
  5. Step 5: Solve for x
    x = 20,812,170.38/5,971.50
  6. Step 6: Final answer
    x = 3,485.25

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1.5x scale

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.