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Finding the Fourth Proportional to 4,896.24, 7,344.32 and 1,775.51

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Solution

The fourth proportional to 4,896.24, 7,344.32 and 1,775.51 is: 2,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.24 : 7,344.32 = 1,775.51 : x
  2. Step 2: Convert to fraction form
    4,896.24/7,344.32 = 1,775.51/x
  3. Step 3: Cross multiply
    4,896.24x = 7,344.32 × 1,775.51
  4. Step 4: Simplify right side
    4,896.24x = 13,039,913.60
  5. Step 5: Solve for x
    x = 13,039,913.60/4,896.24
  6. Step 6: Final answer
    x = 2,663.25

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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.