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Finding the Fourth Proportional to 4,152.63, 5,730.16 and 2,473.80

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Solution

The fourth proportional to 4,152.63, 5,730.16 and 2,473.80 is: 3,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.63 : 5,730.16 = 2,473.80 : x
  2. Step 2: Convert to fraction form
    4,152.63/5,730.16 = 2,473.80/x
  3. Step 3: Cross multiply
    4,152.63x = 5,730.16 × 2,473.80
  4. Step 4: Simplify right side
    4,152.63x = 14,175,269.81
  5. Step 5: Solve for x
    x = 14,175,269.81/4,152.63
  6. Step 6: Final answer
    x = 3,413.56

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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.