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Finding the Fourth Proportional to 5,022.34, 6,931.02 and 2,784.22

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Solution

The fourth proportional to 5,022.34, 6,931.02 and 2,784.22 is: 3,842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.34 : 6,931.02 = 2,784.22 : x
  2. Step 2: Convert to fraction form
    5,022.34/6,931.02 = 2,784.22/x
  3. Step 3: Cross multiply
    5,022.34x = 6,931.02 × 2,784.22
  4. Step 4: Simplify right side
    5,022.34x = 19,297,484.50
  5. Step 5: Solve for x
    x = 19,297,484.50/5,022.34
  6. Step 6: Final answer
    x = 3,842.33

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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.