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Finding the Fourth Proportional to 4,548.09, 6,822.25 and 1,261.18

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Solution

The fourth proportional to 4,548.09, 6,822.25 and 1,261.18 is: 1,891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.09 : 6,822.25 = 1,261.18 : x
  2. Step 2: Convert to fraction form
    4,548.09/6,822.25 = 1,261.18/x
  3. Step 3: Cross multiply
    4,548.09x = 6,822.25 × 1,261.18
  4. Step 4: Simplify right side
    4,548.09x = 8,604,051.14
  5. Step 5: Solve for x
    x = 8,604,051.14/4,548.09
  6. Step 6: Final answer
    x = 1,891.79

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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.