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Finding the Fourth Proportional to 5,127.46, 7,693.62 and 3,051.56

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Solution

The fourth proportional to 5,127.46, 7,693.62 and 3,051.56 is: 4,578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.46 : 7,693.62 = 3,051.56 : x
  2. Step 2: Convert to fraction form
    5,127.46/7,693.62 = 3,051.56/x
  3. Step 3: Cross multiply
    5,127.46x = 7,693.62 × 3,051.56
  4. Step 4: Simplify right side
    5,127.46x = 23,477,543.05
  5. Step 5: Solve for x
    x = 23,477,543.05/5,127.46
  6. Step 6: Final answer
    x = 4,578.79

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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.