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Finding the Fourth Proportional to 5,741.45, 7,919.43 and 4,145.47

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Solution

The fourth proportional to 5,741.45, 7,919.43 and 4,145.47 is: 5,718.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.45 : 7,919.43 = 4,145.47 : x
  2. Step 2: Convert to fraction form
    5,741.45/7,919.43 = 4,145.47/x
  3. Step 3: Cross multiply
    5,741.45x = 7,919.43 × 4,145.47
  4. Step 4: Simplify right side
    5,741.45x = 32,829,730.25
  5. Step 5: Solve for x
    x = 32,829,730.25/5,741.45
  6. Step 6: Final answer
    x = 5,718.03

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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.