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Finding the Fourth Proportional to 4,994.10, 6,892.74 and 4,153.68

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Solution

The fourth proportional to 4,994.10, 6,892.74 and 4,153.68 is: 5,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.10 : 6,892.74 = 4,153.68 : x
  2. Step 2: Convert to fraction form
    4,994.10/6,892.74 = 4,153.68/x
  3. Step 3: Cross multiply
    4,994.10x = 6,892.74 × 4,153.68
  4. Step 4: Simplify right side
    4,994.10x = 28,630,236.28
  5. Step 5: Solve for x
    x = 28,630,236.28/4,994.10
  6. Step 6: Final answer
    x = 5,732.81

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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.