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Finding the Fourth Proportional to 5,176.55, 7,143.09 and 3,023.16

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Solution

The fourth proportional to 5,176.55, 7,143.09 and 3,023.16 is: 4,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.55 : 7,143.09 = 3,023.16 : x
  2. Step 2: Convert to fraction form
    5,176.55/7,143.09 = 3,023.16/x
  3. Step 3: Cross multiply
    5,176.55x = 7,143.09 × 3,023.16
  4. Step 4: Simplify right side
    5,176.55x = 21,594,703.96
  5. Step 5: Solve for x
    x = 21,594,703.96/5,176.55
  6. Step 6: Final answer
    x = 4,171.64

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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.