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Finding the Fourth Proportional to 4,210.93, 5,811.21 and 2,322.64

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Solution

The fourth proportional to 4,210.93, 5,811.21 and 2,322.64 is: 3,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.93 : 5,811.21 = 2,322.64 : x
  2. Step 2: Convert to fraction form
    4,210.93/5,811.21 = 2,322.64/x
  3. Step 3: Cross multiply
    4,210.93x = 5,811.21 × 2,322.64
  4. Step 4: Simplify right side
    4,210.93x = 13,497,348.79
  5. Step 5: Solve for x
    x = 13,497,348.79/4,210.93
  6. Step 6: Final answer
    x = 3,205.31

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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.