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Finding the Fourth Proportional to 5,074.72, 7,612.56 and 1,996

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Solution

The fourth proportional to 5,074.72, 7,612.56 and 1,996 is: 2,994.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.72 : 7,612.56 = 1,996 : x
  2. Step 2: Convert to fraction form
    5,074.72/7,612.56 = 1,996/x
  3. Step 3: Cross multiply
    5,074.72x = 7,612.56 × 1,996
  4. Step 4: Simplify right side
    5,074.72x = 15,194,669.76
  5. Step 5: Solve for x
    x = 15,194,669.76/5,074.72
  6. Step 6: Final answer
    x = 2,994.19

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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.