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Finding the Fourth Proportional to 5,308.72, 7,322.64 and 3,422.72

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Solution

The fourth proportional to 5,308.72, 7,322.64 and 3,422.72 is: 4,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.72 : 7,322.64 = 3,422.72 : x
  2. Step 2: Convert to fraction form
    5,308.72/7,322.64 = 3,422.72/x
  3. Step 3: Cross multiply
    5,308.72x = 7,322.64 × 3,422.72
  4. Step 4: Simplify right side
    5,308.72x = 25,063,346.38
  5. Step 5: Solve for x
    x = 25,063,346.38/5,308.72
  6. Step 6: Final answer
    x = 4,721.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.