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Finding the Fourth Proportional to 6,852.70, 10,279.05 and 3,742.30

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Solution

The fourth proportional to 6,852.70, 10,279.05 and 3,742.30 is: 5,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.70 : 10,279.05 = 3,742.30 : x
  2. Step 2: Convert to fraction form
    6,852.70/10,279.05 = 3,742.30/x
  3. Step 3: Cross multiply
    6,852.70x = 10,279.05 × 3,742.30
  4. Step 4: Simplify right side
    6,852.70x = 38,467,288.82
  5. Step 5: Solve for x
    x = 38,467,288.82/6,852.70
  6. Step 6: Final answer
    x = 5,613.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.