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Finding the Fourth Proportional to 3,746.97, 5,619.96 and 1,114.43

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Solution

The fourth proportional to 3,746.97, 5,619.96 and 1,114.43 is: 1,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.97 : 5,619.96 = 1,114.43 : x
  2. Step 2: Convert to fraction form
    3,746.97/5,619.96 = 1,114.43/x
  3. Step 3: Cross multiply
    3,746.97x = 5,619.96 × 1,114.43
  4. Step 4: Simplify right side
    3,746.97x = 6,263,052.02
  5. Step 5: Solve for x
    x = 6,263,052.02/3,746.97
  6. Step 6: Final answer
    x = 1,671.50

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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.