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Finding the Fourth Proportional to 5,322.06, 7,983.15 and 2,035.47

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Solution

The fourth proportional to 5,322.06, 7,983.15 and 2,035.47 is: 3,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.06 : 7,983.15 = 2,035.47 : x
  2. Step 2: Convert to fraction form
    5,322.06/7,983.15 = 2,035.47/x
  3. Step 3: Cross multiply
    5,322.06x = 7,983.15 × 2,035.47
  4. Step 4: Simplify right side
    5,322.06x = 16,249,462.33
  5. Step 5: Solve for x
    x = 16,249,462.33/5,322.06
  6. Step 6: Final answer
    x = 3,053.23

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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.