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Finding the Fourth Proportional to 4,242.57, 5,853.46 and 2,473.86

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Solution

The fourth proportional to 4,242.57, 5,853.46 and 2,473.86 is: 3,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.57 : 5,853.46 = 2,473.86 : x
  2. Step 2: Convert to fraction form
    4,242.57/5,853.46 = 2,473.86/x
  3. Step 3: Cross multiply
    4,242.57x = 5,853.46 × 2,473.86
  4. Step 4: Simplify right side
    4,242.57x = 14,480,640.56
  5. Step 5: Solve for x
    x = 14,480,640.56/4,242.57
  6. Step 6: Final answer
    x = 3,413.18

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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.