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Finding the Fourth Proportional to 4,743.06, 7,099.92 and 3,809.94

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Solution

The fourth proportional to 4,743.06, 7,099.92 and 3,809.94 is: 5,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.06 : 7,099.92 = 3,809.94 : x
  2. Step 2: Convert to fraction form
    4,743.06/7,099.92 = 3,809.94/x
  3. Step 3: Cross multiply
    4,743.06x = 7,099.92 × 3,809.94
  4. Step 4: Simplify right side
    4,743.06x = 27,050,269.20
  5. Step 5: Solve for x
    x = 27,050,269.20/4,743.06
  6. Step 6: Final answer
    x = 5,703.13

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Why These Related Problems?

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