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Finding the Fourth Proportional to 5,892.51, 8,131.95 and 3,655.56

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Solution

The fourth proportional to 5,892.51, 8,131.95 and 3,655.56 is: 5,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.51 : 8,131.95 = 3,655.56 : x
  2. Step 2: Convert to fraction form
    5,892.51/8,131.95 = 3,655.56/x
  3. Step 3: Cross multiply
    5,892.51x = 8,131.95 × 3,655.56
  4. Step 4: Simplify right side
    5,892.51x = 29,726,831.14
  5. Step 5: Solve for x
    x = 29,726,831.14/5,892.51
  6. Step 6: Final answer
    x = 5,044.85

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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.