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Finding the Fourth Proportional to 4,896.54, 7,342.90 and 1,775.61

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Solution

The fourth proportional to 4,896.54, 7,342.90 and 1,775.61 is: 2,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.54 : 7,342.90 = 1,775.61 : x
  2. Step 2: Convert to fraction form
    4,896.54/7,342.90 = 1,775.61/x
  3. Step 3: Cross multiply
    4,896.54x = 7,342.90 × 1,775.61
  4. Step 4: Simplify right side
    4,896.54x = 13,038,122.23
  5. Step 5: Solve for x
    x = 13,038,122.23/4,896.54
  6. Step 6: Final answer
    x = 2,662.72

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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.