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Finding the Fourth Proportional to 5,165.36, 7,134 and 4,000.52

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Solution

The fourth proportional to 5,165.36, 7,134 and 4,000.52 is: 5,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.36 : 7,134 = 4,000.52 : x
  2. Step 2: Convert to fraction form
    5,165.36/7,134 = 4,000.52/x
  3. Step 3: Cross multiply
    5,165.36x = 7,134 × 4,000.52
  4. Step 4: Simplify right side
    5,165.36x = 28,539,709.68
  5. Step 5: Solve for x
    x = 28,539,709.68/5,165.36
  6. Step 6: Final answer
    x = 5,525.21

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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.