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Finding the Fourth Proportional to 4,242.20, 5,854.22 and 2,473.46

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Solution

The fourth proportional to 4,242.20, 5,854.22 and 2,473.46 is: 3,413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.20 : 5,854.22 = 2,473.46 : x
  2. Step 2: Convert to fraction form
    4,242.20/5,854.22 = 2,473.46/x
  3. Step 3: Cross multiply
    4,242.20x = 5,854.22 × 2,473.46
  4. Step 4: Simplify right side
    4,242.20x = 14,480,137.36
  5. Step 5: Solve for x
    x = 14,480,137.36/4,242.20
  6. Step 6: Final answer
    x = 3,413.36

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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.