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Finding the Fourth Proportional to 4,242.52, 5,854.94 and 2,823.76

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Solution

The fourth proportional to 4,242.52, 5,854.94 and 2,823.76 is: 3,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.52 : 5,854.94 = 2,823.76 : x
  2. Step 2: Convert to fraction form
    4,242.52/5,854.94 = 2,823.76/x
  3. Step 3: Cross multiply
    4,242.52x = 5,854.94 × 2,823.76
  4. Step 4: Simplify right side
    4,242.52x = 16,532,945.37
  5. Step 5: Solve for x
    x = 16,532,945.37/4,242.52
  6. Step 6: Final answer
    x = 3,896.96

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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.