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Finding the Fourth Proportional to 3,290.19, 4,911.86 and 3,174.87

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Solution

The fourth proportional to 3,290.19, 4,911.86 and 3,174.87 is: 4,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.19 : 4,911.86 = 3,174.87 : x
  2. Step 2: Convert to fraction form
    3,290.19/4,911.86 = 3,174.87/x
  3. Step 3: Cross multiply
    3,290.19x = 4,911.86 × 3,174.87
  4. Step 4: Simplify right side
    3,290.19x = 15,594,516.96
  5. Step 5: Solve for x
    x = 15,594,516.96/3,290.19
  6. Step 6: Final answer
    x = 4,739.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.