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Finding the Fourth Proportional to 5,071.70, 6,999.82 and 3,749.24

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Solution

The fourth proportional to 5,071.70, 6,999.82 and 3,749.24 is: 5,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.70 : 6,999.82 = 3,749.24 : x
  2. Step 2: Convert to fraction form
    5,071.70/6,999.82 = 3,749.24/x
  3. Step 3: Cross multiply
    5,071.70x = 6,999.82 × 3,749.24
  4. Step 4: Simplify right side
    5,071.70x = 26,244,005.14
  5. Step 5: Solve for x
    x = 26,244,005.14/5,071.70
  6. Step 6: Final answer
    x = 5,174.60

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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.