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Finding the Fourth Proportional to 4,741.86, 7,116.96 and 2,552.16

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Solution

The fourth proportional to 4,741.86, 7,116.96 and 2,552.16 is: 3,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.86 : 7,116.96 = 2,552.16 : x
  2. Step 2: Convert to fraction form
    4,741.86/7,116.96 = 2,552.16/x
  3. Step 3: Cross multiply
    4,741.86x = 7,116.96 × 2,552.16
  4. Step 4: Simplify right side
    4,741.86x = 18,163,620.63
  5. Step 5: Solve for x
    x = 18,163,620.63/4,741.86
  6. Step 6: Final answer
    x = 3,830.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.