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Finding the Fourth Proportional to 5,769.16, 8,661.18 and 4,952.68

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Solution

The fourth proportional to 5,769.16, 8,661.18 and 4,952.68 is: 7,435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.16 : 8,661.18 = 4,952.68 : x
  2. Step 2: Convert to fraction form
    5,769.16/8,661.18 = 4,952.68/x
  3. Step 3: Cross multiply
    5,769.16x = 8,661.18 × 4,952.68
  4. Step 4: Simplify right side
    5,769.16x = 42,896,052.96
  5. Step 5: Solve for x
    x = 42,896,052.96/5,769.16
  6. Step 6: Final answer
    x = 7,435.41

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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.