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Finding the Fourth Proportional to 5,189.04, 7,785 and 2,882.16

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Solution

The fourth proportional to 5,189.04, 7,785 and 2,882.16 is: 4,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.04 : 7,785 = 2,882.16 : x
  2. Step 2: Convert to fraction form
    5,189.04/7,785 = 2,882.16/x
  3. Step 3: Cross multiply
    5,189.04x = 7,785 × 2,882.16
  4. Step 4: Simplify right side
    5,189.04x = 22,437,615.60
  5. Step 5: Solve for x
    x = 22,437,615.60/5,189.04
  6. Step 6: Final answer
    x = 4,324.04

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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.