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Finding the Fourth Proportional to 4,951.89, 6,833.04 and 2,827.89

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Solution

The fourth proportional to 4,951.89, 6,833.04 and 2,827.89 is: 3,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.89 : 6,833.04 = 2,827.89 : x
  2. Step 2: Convert to fraction form
    4,951.89/6,833.04 = 2,827.89/x
  3. Step 3: Cross multiply
    4,951.89x = 6,833.04 × 2,827.89
  4. Step 4: Simplify right side
    4,951.89x = 19,323,085.49
  5. Step 5: Solve for x
    x = 19,323,085.49/4,951.89
  6. Step 6: Final answer
    x = 3,902.16

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1.5x scale

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.