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Finding the Fourth Proportional to 3,830.49, 5,746.55 and 1,197.92

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Solution

The fourth proportional to 3,830.49, 5,746.55 and 1,197.92 is: 1,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.49 : 5,746.55 = 1,197.92 : x
  2. Step 2: Convert to fraction form
    3,830.49/5,746.55 = 1,197.92/x
  3. Step 3: Cross multiply
    3,830.49x = 5,746.55 × 1,197.92
  4. Step 4: Simplify right side
    3,830.49x = 6,883,915.55
  5. Step 5: Solve for x
    x = 6,883,915.55/3,830.49
  6. Step 6: Final answer
    x = 1,797.14

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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.