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Finding the Fourth Proportional to 4,726.62, 7,093.17 and 2,419.74

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Solution

The fourth proportional to 4,726.62, 7,093.17 and 2,419.74 is: 3,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.62 : 7,093.17 = 2,419.74 : x
  2. Step 2: Convert to fraction form
    4,726.62/7,093.17 = 2,419.74/x
  3. Step 3: Cross multiply
    4,726.62x = 7,093.17 × 2,419.74
  4. Step 4: Simplify right side
    4,726.62x = 17,163,627.18
  5. Step 5: Solve for x
    x = 17,163,627.18/4,726.62
  6. Step 6: Final answer
    x = 3,631.27

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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.