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Finding the Fourth Proportional to 4,207.70, 6,323.70 and 3,673.10

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Solution

The fourth proportional to 4,207.70, 6,323.70 and 3,673.10 is: 5,520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.70 : 6,323.70 = 3,673.10 : x
  2. Step 2: Convert to fraction form
    4,207.70/6,323.70 = 3,673.10/x
  3. Step 3: Cross multiply
    4,207.70x = 6,323.70 × 3,673.10
  4. Step 4: Simplify right side
    4,207.70x = 23,227,582.47
  5. Step 5: Solve for x
    x = 23,227,582.47/4,207.70
  6. Step 6: Final answer
    x = 5,520.26

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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.