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Finding the Fourth Proportional to 5,107.25, 7,661.50 and 1,820.68

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Solution

The fourth proportional to 5,107.25, 7,661.50 and 1,820.68 is: 2,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.25 : 7,661.50 = 1,820.68 : x
  2. Step 2: Convert to fraction form
    5,107.25/7,661.50 = 1,820.68/x
  3. Step 3: Cross multiply
    5,107.25x = 7,661.50 × 1,820.68
  4. Step 4: Simplify right side
    5,107.25x = 13,949,116.11
  5. Step 5: Solve for x
    x = 13,949,116.11/5,107.25
  6. Step 6: Final answer
    x = 2,731.24

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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.