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Finding the Fourth Proportional to 5,009.38, 6,912.16 and 2,885.00

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Solution

The fourth proportional to 5,009.38, 6,912.16 and 2,885.00 is: 3,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.38 : 6,912.16 = 2,885.00 : x
  2. Step 2: Convert to fraction form
    5,009.38/6,912.16 = 2,885.00/x
  3. Step 3: Cross multiply
    5,009.38x = 6,912.16 × 2,885.00
  4. Step 4: Simplify right side
    5,009.38x = 19,941,571.53
  5. Step 5: Solve for x
    x = 19,941,571.53/5,009.38
  6. Step 6: Final answer
    x = 3,980.85

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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.