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Finding the Fourth Proportional to 5,022.42, 6,931 and 2,784.33

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Solution

The fourth proportional to 5,022.42, 6,931 and 2,784.33 is: 3,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.42 : 6,931 = 2,784.33 : x
  2. Step 2: Convert to fraction form
    5,022.42/6,931 = 2,784.33/x
  3. Step 3: Cross multiply
    5,022.42x = 6,931 × 2,784.33
  4. Step 4: Simplify right side
    5,022.42x = 19,298,191.23
  5. Step 5: Solve for x
    x = 19,298,191.23/5,022.42
  6. Step 6: Final answer
    x = 3,842.41

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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.