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Finding the Fourth Proportional to 3,830.52, 5,746.38 and 1,639.26

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Solution

The fourth proportional to 3,830.52, 5,746.38 and 1,639.26 is: 2,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.52 : 5,746.38 = 1,639.26 : x
  2. Step 2: Convert to fraction form
    3,830.52/5,746.38 = 1,639.26/x
  3. Step 3: Cross multiply
    3,830.52x = 5,746.38 × 1,639.26
  4. Step 4: Simplify right side
    3,830.52x = 9,419,810.88
  5. Step 5: Solve for x
    x = 9,419,810.88/3,830.52
  6. Step 6: Final answer
    x = 2,459.15

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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.