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Finding the Fourth Proportional to 3,137.93, 4,707.69 and 2,215.29

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Solution

The fourth proportional to 3,137.93, 4,707.69 and 2,215.29 is: 3,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.93 : 4,707.69 = 2,215.29 : x
  2. Step 2: Convert to fraction form
    3,137.93/4,707.69 = 2,215.29/x
  3. Step 3: Cross multiply
    3,137.93x = 4,707.69 × 2,215.29
  4. Step 4: Simplify right side
    3,137.93x = 10,428,898.58
  5. Step 5: Solve for x
    x = 10,428,898.58/3,137.93
  6. Step 6: Final answer
    x = 3,323.50

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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.