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Finding the Fourth Proportional to 4,292.46, 6,419.82 and 3,736.62

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Solution

The fourth proportional to 4,292.46, 6,419.82 and 3,736.62 is: 5,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.46 : 6,419.82 = 3,736.62 : x
  2. Step 2: Convert to fraction form
    4,292.46/6,419.82 = 3,736.62/x
  3. Step 3: Cross multiply
    4,292.46x = 6,419.82 × 3,736.62
  4. Step 4: Simplify right side
    4,292.46x = 23,988,427.81
  5. Step 5: Solve for x
    x = 23,988,427.81/4,292.46
  6. Step 6: Final answer
    x = 5,588.50

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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.