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Finding the Fourth Proportional to 5,069.84, 6,996.31 and 2,831.76

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Solution

The fourth proportional to 5,069.84, 6,996.31 and 2,831.76 is: 3,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.84 : 6,996.31 = 2,831.76 : x
  2. Step 2: Convert to fraction form
    5,069.84/6,996.31 = 2,831.76/x
  3. Step 3: Cross multiply
    5,069.84x = 6,996.31 × 2,831.76
  4. Step 4: Simplify right side
    5,069.84x = 19,811,870.81
  5. Step 5: Solve for x
    x = 19,811,870.81/5,069.84
  6. Step 6: Final answer
    x = 3,907.79

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