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Finding the Fourth Proportional to 3,564.76, 4,918.92 and 2,148.52

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Solution

The fourth proportional to 3,564.76, 4,918.92 and 2,148.52 is: 2,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.76 : 4,918.92 = 2,148.52 : x
  2. Step 2: Convert to fraction form
    3,564.76/4,918.92 = 2,148.52/x
  3. Step 3: Cross multiply
    3,564.76x = 4,918.92 × 2,148.52
  4. Step 4: Simplify right side
    3,564.76x = 10,568,398.00
  5. Step 5: Solve for x
    x = 10,568,398.00/3,564.76
  6. Step 6: Final answer
    x = 2,964.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.