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Finding the Fourth Proportional to 5,828.09, 8,033.16 and 4,124.40

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Solution

The fourth proportional to 5,828.09, 8,033.16 and 4,124.40 is: 5,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.09 : 8,033.16 = 4,124.40 : x
  2. Step 2: Convert to fraction form
    5,828.09/8,033.16 = 4,124.40/x
  3. Step 3: Cross multiply
    5,828.09x = 8,033.16 × 4,124.40
  4. Step 4: Simplify right side
    5,828.09x = 33,131,965.10
  5. Step 5: Solve for x
    x = 33,131,965.10/5,828.09
  6. Step 6: Final answer
    x = 5,684.87

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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.