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Finding the Fourth Proportional to 5,021.93, 6,930.24 and 2,784.14

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Solution

The fourth proportional to 5,021.93, 6,930.24 and 2,784.14 is: 3,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021.93 : 6,930.24 = 2,784.14 : x
  2. Step 2: Convert to fraction form
    5,021.93/6,930.24 = 2,784.14/x
  3. Step 3: Cross multiply
    5,021.93x = 6,930.24 × 2,784.14
  4. Step 4: Simplify right side
    5,021.93x = 19,294,723.74
  5. Step 5: Solve for x
    x = 19,294,723.74/5,021.93
  6. Step 6: Final answer
    x = 3,842.10

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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.