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Finding the Fourth Proportional to 5,741.32, 7,919.26 and 4,145.34

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Solution

The fourth proportional to 5,741.32, 7,919.26 and 4,145.34 is: 5,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.32 : 7,919.26 = 4,145.34 : x
  2. Step 2: Convert to fraction form
    5,741.32/7,919.26 = 4,145.34/x
  3. Step 3: Cross multiply
    5,741.32x = 7,919.26 × 4,145.34
  4. Step 4: Simplify right side
    5,741.32x = 32,828,025.25
  5. Step 5: Solve for x
    x = 32,828,025.25/5,741.32
  6. Step 6: Final answer
    x = 5,717.85

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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.