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Finding the Fourth Proportional to 4,896.38, 7,344.54 and 1,775.66

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Solution

The fourth proportional to 4,896.38, 7,344.54 and 1,775.66 is: 2,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.38 : 7,344.54 = 1,775.66 : x
  2. Step 2: Convert to fraction form
    4,896.38/7,344.54 = 1,775.66/x
  3. Step 3: Cross multiply
    4,896.38x = 7,344.54 × 1,775.66
  4. Step 4: Simplify right side
    4,896.38x = 13,041,405.90
  5. Step 5: Solve for x
    x = 13,041,405.90/4,896.38
  6. Step 6: Final answer
    x = 2,663.48

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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.