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Finding the Fourth Proportional to 5,548.92, 7,656.66 and 3,190.68

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Solution

The fourth proportional to 5,548.92, 7,656.66 and 3,190.68 is: 4,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.92 : 7,656.66 = 3,190.68 : x
  2. Step 2: Convert to fraction form
    5,548.92/7,656.66 = 3,190.68/x
  3. Step 3: Cross multiply
    5,548.92x = 7,656.66 × 3,190.68
  4. Step 4: Simplify right side
    5,548.92x = 24,429,951.93
  5. Step 5: Solve for x
    x = 24,429,951.93/5,548.92
  6. Step 6: Final answer
    x = 4,402.65

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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.