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Finding the Fourth Proportional to 5,749.76, 7,934.70 and 3,359.87

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Solution

The fourth proportional to 5,749.76, 7,934.70 and 3,359.87 is: 4,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.76 : 7,934.70 = 3,359.87 : x
  2. Step 2: Convert to fraction form
    5,749.76/7,934.70 = 3,359.87/x
  3. Step 3: Cross multiply
    5,749.76x = 7,934.70 × 3,359.87
  4. Step 4: Simplify right side
    5,749.76x = 26,659,543.69
  5. Step 5: Solve for x
    x = 26,659,543.69/5,749.76
  6. Step 6: Final answer
    x = 4,636.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.