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Finding the Fourth Proportional to 4,183.93, 5,774 and 2,505.01

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Solution

The fourth proportional to 4,183.93, 5,774 and 2,505.01 is: 3,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.93 : 5,774 = 2,505.01 : x
  2. Step 2: Convert to fraction form
    4,183.93/5,774 = 2,505.01/x
  3. Step 3: Cross multiply
    4,183.93x = 5,774 × 2,505.01
  4. Step 4: Simplify right side
    4,183.93x = 14,463,927.74
  5. Step 5: Solve for x
    x = 14,463,927.74/4,183.93
  6. Step 6: Final answer
    x = 3,457.02

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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.