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Finding the Fourth Proportional to 5,967.48, 8,945.75 and 2,069.16

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Solution

The fourth proportional to 5,967.48, 8,945.75 and 2,069.16 is: 3,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.48 : 8,945.75 = 2,069.16 : x
  2. Step 2: Convert to fraction form
    5,967.48/8,945.75 = 2,069.16/x
  3. Step 3: Cross multiply
    5,967.48x = 8,945.75 × 2,069.16
  4. Step 4: Simplify right side
    5,967.48x = 18,510,159.70
  5. Step 5: Solve for x
    x = 18,510,159.70/5,967.48
  6. Step 6: Final answer
    x = 3,101.84

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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.