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Finding the Fourth Proportional to 5,828.77, 8,040.72 and 3,813.35

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Solution

The fourth proportional to 5,828.77, 8,040.72 and 3,813.35 is: 5,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.77 : 8,040.72 = 3,813.35 : x
  2. Step 2: Convert to fraction form
    5,828.77/8,040.72 = 3,813.35/x
  3. Step 3: Cross multiply
    5,828.77x = 8,040.72 × 3,813.35
  4. Step 4: Simplify right side
    5,828.77x = 30,662,100.10
  5. Step 5: Solve for x
    x = 30,662,100.10/5,828.77
  6. Step 6: Final answer
    x = 5,260.47

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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.