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Finding the Fourth Proportional to 3,429.81, 5,164.83 and 2,462.67

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Solution

The fourth proportional to 3,429.81, 5,164.83 and 2,462.67 is: 3,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.81 : 5,164.83 = 2,462.67 : x
  2. Step 2: Convert to fraction form
    3,429.81/5,164.83 = 2,462.67/x
  3. Step 3: Cross multiply
    3,429.81x = 5,164.83 × 2,462.67
  4. Step 4: Simplify right side
    3,429.81x = 12,719,271.90
  5. Step 5: Solve for x
    x = 12,719,271.90/3,429.81
  6. Step 6: Final answer
    x = 3,708.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.