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Finding the Fourth Proportional to 5,828.16, 8,745.78 and 2,317.52

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Solution

The fourth proportional to 5,828.16, 8,745.78 and 2,317.52 is: 3,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.16 : 8,745.78 = 2,317.52 : x
  2. Step 2: Convert to fraction form
    5,828.16/8,745.78 = 2,317.52/x
  3. Step 3: Cross multiply
    5,828.16x = 8,745.78 × 2,317.52
  4. Step 4: Simplify right side
    5,828.16x = 20,268,520.07
  5. Step 5: Solve for x
    x = 20,268,520.07/5,828.16
  6. Step 6: Final answer
    x = 3,477.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.