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Finding the Fourth Proportional to 5,902.03, 8,144.89 and 3,384.36

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Solution

The fourth proportional to 5,902.03, 8,144.89 and 3,384.36 is: 4,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.03 : 8,144.89 = 3,384.36 : x
  2. Step 2: Convert to fraction form
    5,902.03/8,144.89 = 3,384.36/x
  3. Step 3: Cross multiply
    5,902.03x = 8,144.89 × 3,384.36
  4. Step 4: Simplify right side
    5,902.03x = 27,565,239.92
  5. Step 5: Solve for x
    x = 27,565,239.92/5,902.03
  6. Step 6: Final answer
    x = 4,670.47

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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.