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Finding the Fourth Proportional to 4,317.96, 6,469.74 and 4,155.96

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Solution

The fourth proportional to 4,317.96, 6,469.74 and 4,155.96 is: 6,227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317.96 : 6,469.74 = 4,155.96 : x
  2. Step 2: Convert to fraction form
    4,317.96/6,469.74 = 4,155.96/x
  3. Step 3: Cross multiply
    4,317.96x = 6,469.74 × 4,155.96
  4. Step 4: Simplify right side
    4,317.96x = 26,887,980.65
  5. Step 5: Solve for x
    x = 26,887,980.65/4,317.96
  6. Step 6: Final answer
    x = 6,227.01

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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.