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Finding the Fourth Proportional to 5,420.38, 8,094.38 and 5,143.61

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Solution

The fourth proportional to 5,420.38, 8,094.38 and 5,143.61 is: 7,681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.38 : 8,094.38 = 5,143.61 : x
  2. Step 2: Convert to fraction form
    5,420.38/8,094.38 = 5,143.61/x
  3. Step 3: Cross multiply
    5,420.38x = 8,094.38 × 5,143.61
  4. Step 4: Simplify right side
    5,420.38x = 41,634,333.91
  5. Step 5: Solve for x
    x = 41,634,333.91/5,420.38
  6. Step 6: Final answer
    x = 7,681.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.