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Finding the Fourth Proportional to 5,142.76, 7,096.62 and 2,904.33

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Solution

The fourth proportional to 5,142.76, 7,096.62 and 2,904.33 is: 4,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.76 : 7,096.62 = 2,904.33 : x
  2. Step 2: Convert to fraction form
    5,142.76/7,096.62 = 2,904.33/x
  3. Step 3: Cross multiply
    5,142.76x = 7,096.62 × 2,904.33
  4. Step 4: Simplify right side
    5,142.76x = 20,610,926.36
  5. Step 5: Solve for x
    x = 20,610,926.36/5,142.76
  6. Step 6: Final answer
    x = 4,007.76

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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.