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Finding the Fourth Proportional to 4,242.78, 5,856.57 and 3,455.46

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Solution

The fourth proportional to 4,242.78, 5,856.57 and 3,455.46 is: 4,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.78 : 5,856.57 = 3,455.46 : x
  2. Step 2: Convert to fraction form
    4,242.78/5,856.57 = 3,455.46/x
  3. Step 3: Cross multiply
    4,242.78x = 5,856.57 × 3,455.46
  4. Step 4: Simplify right side
    4,242.78x = 20,237,143.37
  5. Step 5: Solve for x
    x = 20,237,143.37/4,242.78
  6. Step 6: Final answer
    x = 4,769.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.