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Finding the Fourth Proportional to 4,548.24, 6,822.78 and 1,775.13

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Solution

The fourth proportional to 4,548.24, 6,822.78 and 1,775.13 is: 2,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.24 : 6,822.78 = 1,775.13 : x
  2. Step 2: Convert to fraction form
    4,548.24/6,822.78 = 1,775.13/x
  3. Step 3: Cross multiply
    4,548.24x = 6,822.78 × 1,775.13
  4. Step 4: Simplify right side
    4,548.24x = 12,111,321.46
  5. Step 5: Solve for x
    x = 12,111,321.46/4,548.24
  6. Step 6: Final answer
    x = 2,662.86

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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.