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Finding the Fourth Proportional to 5,709.24, 8,548.56 and 5,381.68

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Solution

The fourth proportional to 5,709.24, 8,548.56 and 5,381.68 is: 8,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.24 : 8,548.56 = 5,381.68 : x
  2. Step 2: Convert to fraction form
    5,709.24/8,548.56 = 5,381.68/x
  3. Step 3: Cross multiply
    5,709.24x = 8,548.56 × 5,381.68
  4. Step 4: Simplify right side
    5,709.24x = 46,005,614.38
  5. Step 5: Solve for x
    x = 46,005,614.38/5,709.24
  6. Step 6: Final answer
    x = 8,058.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.