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Finding the Fourth Proportional to 4,842.12, 6,681.96 and 2,852.22

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Solution

The fourth proportional to 4,842.12, 6,681.96 and 2,852.22 is: 3,935.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.12 : 6,681.96 = 2,852.22 : x
  2. Step 2: Convert to fraction form
    4,842.12/6,681.96 = 2,852.22/x
  3. Step 3: Cross multiply
    4,842.12x = 6,681.96 × 2,852.22
  4. Step 4: Simplify right side
    4,842.12x = 19,058,419.95
  5. Step 5: Solve for x
    x = 19,058,419.95/4,842.12
  6. Step 6: Final answer
    x = 3,935.97

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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.