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Finding the Fourth Proportional to 5,721.62, 7,896.76 and 3,484.34

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Solution

The fourth proportional to 5,721.62, 7,896.76 and 3,484.34 is: 4,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.62 : 7,896.76 = 3,484.34 : x
  2. Step 2: Convert to fraction form
    5,721.62/7,896.76 = 3,484.34/x
  3. Step 3: Cross multiply
    5,721.62x = 7,896.76 × 3,484.34
  4. Step 4: Simplify right side
    5,721.62x = 27,514,996.74
  5. Step 5: Solve for x
    x = 27,514,996.74/5,721.62
  6. Step 6: Final answer
    x = 4,808.95

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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.