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Finding the Fourth Proportional to 5,009.75, 6,913.32 and 2,771.55

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Solution

The fourth proportional to 5,009.75, 6,913.32 and 2,771.55 is: 3,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.75 : 6,913.32 = 2,771.55 : x
  2. Step 2: Convert to fraction form
    5,009.75/6,913.32 = 2,771.55/x
  3. Step 3: Cross multiply
    5,009.75x = 6,913.32 × 2,771.55
  4. Step 4: Simplify right side
    5,009.75x = 19,160,601.65
  5. Step 5: Solve for x
    x = 19,160,601.65/5,009.75
  6. Step 6: Final answer
    x = 3,824.66

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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.