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Finding the Fourth Proportional to 5,142.74, 7,097.03 and 2,784.93

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Solution

The fourth proportional to 5,142.74, 7,097.03 and 2,784.93 is: 3,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.74 : 7,097.03 = 2,784.93 : x
  2. Step 2: Convert to fraction form
    5,142.74/7,097.03 = 2,784.93/x
  3. Step 3: Cross multiply
    5,142.74x = 7,097.03 × 2,784.93
  4. Step 4: Simplify right side
    5,142.74x = 19,764,682.35
  5. Step 5: Solve for x
    x = 19,764,682.35/5,142.74
  6. Step 6: Final answer
    x = 3,843.22

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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.