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Finding the Fourth Proportional to 5,923.62, 8,189.37 and 5,184.90

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Solution

The fourth proportional to 5,923.62, 8,189.37 and 5,184.90 is: 7,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.62 : 8,189.37 = 5,184.90 : x
  2. Step 2: Convert to fraction form
    5,923.62/8,189.37 = 5,184.90/x
  3. Step 3: Cross multiply
    5,923.62x = 8,189.37 × 5,184.90
  4. Step 4: Simplify right side
    5,923.62x = 42,461,064.51
  5. Step 5: Solve for x
    x = 42,461,064.51/5,923.62
  6. Step 6: Final answer
    x = 7,168.09

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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.