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Finding the Fourth Proportional to 4,206.12, 5,804.22 and 2,343

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Solution

The fourth proportional to 4,206.12, 5,804.22 and 2,343 is: 3,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.12 : 5,804.22 = 2,343 : x
  2. Step 2: Convert to fraction form
    4,206.12/5,804.22 = 2,343/x
  3. Step 3: Cross multiply
    4,206.12x = 5,804.22 × 2,343
  4. Step 4: Simplify right side
    4,206.12x = 13,599,287.46
  5. Step 5: Solve for x
    x = 13,599,287.46/4,206.12
  6. Step 6: Final answer
    x = 3,233.21

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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.