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Finding the Fourth Proportional to 4,242.55, 5,856.73 and 2,828.60

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Solution

The fourth proportional to 4,242.55, 5,856.73 and 2,828.60 is: 3,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.55 : 5,856.73 = 2,828.60 : x
  2. Step 2: Convert to fraction form
    4,242.55/5,856.73 = 2,828.60/x
  3. Step 3: Cross multiply
    4,242.55x = 5,856.73 × 2,828.60
  4. Step 4: Simplify right side
    4,242.55x = 16,566,346.48
  5. Step 5: Solve for x
    x = 16,566,346.48/4,242.55
  6. Step 6: Final answer
    x = 3,904.81

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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.