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Finding the Fourth Proportional to 5,541.03, 7,646.29 and 3,183.16

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Solution

The fourth proportional to 5,541.03, 7,646.29 and 3,183.16 is: 4,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.03 : 7,646.29 = 3,183.16 : x
  2. Step 2: Convert to fraction form
    5,541.03/7,646.29 = 3,183.16/x
  3. Step 3: Cross multiply
    5,541.03x = 7,646.29 × 3,183.16
  4. Step 4: Simplify right side
    5,541.03x = 24,339,364.48
  5. Step 5: Solve for x
    x = 24,339,364.48/5,541.03
  6. Step 6: Final answer
    x = 4,392.57

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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.