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Finding the Fourth Proportional to 5,878.23, 8,111.10 and 3,359.94

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Solution

The fourth proportional to 5,878.23, 8,111.10 and 3,359.94 is: 4,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.23 : 8,111.10 = 3,359.94 : x
  2. Step 2: Convert to fraction form
    5,878.23/8,111.10 = 3,359.94/x
  3. Step 3: Cross multiply
    5,878.23x = 8,111.10 × 3,359.94
  4. Step 4: Simplify right side
    5,878.23x = 27,252,809.33
  5. Step 5: Solve for x
    x = 27,252,809.33/5,878.23
  6. Step 6: Final answer
    x = 4,636.23

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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.