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Finding the Fourth Proportional to 3,867.76, 5,796.04 and 3,047.68

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Solution

The fourth proportional to 3,867.76, 5,796.04 and 3,047.68 is: 4,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.76 : 5,796.04 = 3,047.68 : x
  2. Step 2: Convert to fraction form
    3,867.76/5,796.04 = 3,047.68/x
  3. Step 3: Cross multiply
    3,867.76x = 5,796.04 × 3,047.68
  4. Step 4: Simplify right side
    3,867.76x = 17,664,475.19
  5. Step 5: Solve for x
    x = 17,664,475.19/3,867.76
  6. Step 6: Final answer
    x = 4,567.11

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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.