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Finding the Fourth Proportional to 4,950.09, 6,831.16 and 2,712.02

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Solution

The fourth proportional to 4,950.09, 6,831.16 and 2,712.02 is: 3,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.09 : 6,831.16 = 2,712.02 : x
  2. Step 2: Convert to fraction form
    4,950.09/6,831.16 = 2,712.02/x
  3. Step 3: Cross multiply
    4,950.09x = 6,831.16 × 2,712.02
  4. Step 4: Simplify right side
    4,950.09x = 18,526,201.61
  5. Step 5: Solve for x
    x = 18,526,201.61/4,950.09
  6. Step 6: Final answer
    x = 3,742.60

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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.