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Finding the Fourth Proportional to 5,902.69, 8,145.74 and 3,384.89

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Solution

The fourth proportional to 5,902.69, 8,145.74 and 3,384.89 is: 4,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.69 : 8,145.74 = 3,384.89 : x
  2. Step 2: Convert to fraction form
    5,902.69/8,145.74 = 3,384.89/x
  3. Step 3: Cross multiply
    5,902.69x = 8,145.74 × 3,384.89
  4. Step 4: Simplify right side
    5,902.69x = 27,572,416.94
  5. Step 5: Solve for x
    x = 27,572,416.94/5,902.69
  6. Step 6: Final answer
    x = 4,671.17

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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.