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Finding the Fourth Proportional to 4,452.71, 6,683.40 and 2,145.83

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Solution

The fourth proportional to 4,452.71, 6,683.40 and 2,145.83 is: 3,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.71 : 6,683.40 = 2,145.83 : x
  2. Step 2: Convert to fraction form
    4,452.71/6,683.40 = 2,145.83/x
  3. Step 3: Cross multiply
    4,452.71x = 6,683.40 × 2,145.83
  4. Step 4: Simplify right side
    4,452.71x = 14,341,440.22
  5. Step 5: Solve for x
    x = 14,341,440.22/4,452.71
  6. Step 6: Final answer
    x = 3,220.83

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