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Finding the Fourth Proportional to 4,207.97, 5,807.09 and 2,319.68

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Solution

The fourth proportional to 4,207.97, 5,807.09 and 2,319.68 is: 3,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.97 : 5,807.09 = 2,319.68 : x
  2. Step 2: Convert to fraction form
    4,207.97/5,807.09 = 2,319.68/x
  3. Step 3: Cross multiply
    4,207.97x = 5,807.09 × 2,319.68
  4. Step 4: Simplify right side
    4,207.97x = 13,470,590.53
  5. Step 5: Solve for x
    x = 13,470,590.53/4,207.97
  6. Step 6: Final answer
    x = 3,201.21

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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.