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Finding the Fourth Proportional to 4,867.26, 7,301.14 and 1,404.78

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Solution

The fourth proportional to 4,867.26, 7,301.14 and 1,404.78 is: 2,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.26 : 7,301.14 = 1,404.78 : x
  2. Step 2: Convert to fraction form
    4,867.26/7,301.14 = 1,404.78/x
  3. Step 3: Cross multiply
    4,867.26x = 7,301.14 × 1,404.78
  4. Step 4: Simplify right side
    4,867.26x = 10,256,495.45
  5. Step 5: Solve for x
    x = 10,256,495.45/4,867.26
  6. Step 6: Final answer
    x = 2,107.24

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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.