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Finding the Fourth Proportional to 5,814.30, 8,026.02 and 3,927

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Solution

The fourth proportional to 5,814.30, 8,026.02 and 3,927 is: 5,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.30 : 8,026.02 = 3,927 : x
  2. Step 2: Convert to fraction form
    5,814.30/8,026.02 = 3,927/x
  3. Step 3: Cross multiply
    5,814.30x = 8,026.02 × 3,927
  4. Step 4: Simplify right side
    5,814.30x = 31,518,180.54
  5. Step 5: Solve for x
    x = 31,518,180.54/5,814.30
  6. Step 6: Final answer
    x = 5,420.80

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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.