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Finding the Fourth Proportional to 5,071.73, 6,999.17 and 2,834.01

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Solution

The fourth proportional to 5,071.73, 6,999.17 and 2,834.01 is: 3,911.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.73 : 6,999.17 = 2,834.01 : x
  2. Step 2: Convert to fraction form
    5,071.73/6,999.17 = 2,834.01/x
  3. Step 3: Cross multiply
    5,071.73x = 6,999.17 × 2,834.01
  4. Step 4: Simplify right side
    5,071.73x = 19,835,703.60
  5. Step 5: Solve for x
    x = 19,835,703.60/5,071.73
  6. Step 6: Final answer
    x = 3,911.04

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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.