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Finding the Fourth Proportional to 5,107.10, 7,660.68 and 1,820.32

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Solution

The fourth proportional to 5,107.10, 7,660.68 and 1,820.32 is: 2,730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.10 : 7,660.68 = 1,820.32 : x
  2. Step 2: Convert to fraction form
    5,107.10/7,660.68 = 1,820.32/x
  3. Step 3: Cross multiply
    5,107.10x = 7,660.68 × 1,820.32
  4. Step 4: Simplify right side
    5,107.10x = 13,944,889.02
  5. Step 5: Solve for x
    x = 13,944,889.02/5,107.10
  6. Step 6: Final answer
    x = 2,730.49

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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.