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Finding the Fourth Proportional to 3,884.92, 5,825.95 and 1,419.01

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Solution

The fourth proportional to 3,884.92, 5,825.95 and 1,419.01 is: 2,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.92 : 5,825.95 = 1,419.01 : x
  2. Step 2: Convert to fraction form
    3,884.92/5,825.95 = 1,419.01/x
  3. Step 3: Cross multiply
    3,884.92x = 5,825.95 × 1,419.01
  4. Step 4: Simplify right side
    3,884.92x = 8,267,081.31
  5. Step 5: Solve for x
    x = 8,267,081.31/3,884.92
  6. Step 6: Final answer
    x = 2,127.99

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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.