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Finding the Fourth Proportional to 3,746.94, 5,620.42 and 1,149.88

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Solution

The fourth proportional to 3,746.94, 5,620.42 and 1,149.88 is: 1,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.94 : 5,620.42 = 1,149.88 : x
  2. Step 2: Convert to fraction form
    3,746.94/5,620.42 = 1,149.88/x
  3. Step 3: Cross multiply
    3,746.94x = 5,620.42 × 1,149.88
  4. Step 4: Simplify right side
    3,746.94x = 6,462,808.55
  5. Step 5: Solve for x
    x = 6,462,808.55/3,746.94
  6. Step 6: Final answer
    x = 1,724.82

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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.