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Finding the Fourth Proportional to 4,852.78, 7,273.54 and 2,774.24

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Solution

The fourth proportional to 4,852.78, 7,273.54 and 2,774.24 is: 4,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.78 : 7,273.54 = 2,774.24 : x
  2. Step 2: Convert to fraction form
    4,852.78/7,273.54 = 2,774.24/x
  3. Step 3: Cross multiply
    4,852.78x = 7,273.54 × 2,774.24
  4. Step 4: Simplify right side
    4,852.78x = 20,178,545.61
  5. Step 5: Solve for x
    x = 20,178,545.61/4,852.78
  6. Step 6: Final answer
    x = 4,158.14

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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.