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Finding the Fourth Proportional to 5,128.44, 7,082.82 and 4,465.86

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Solution

The fourth proportional to 5,128.44, 7,082.82 and 4,465.86 is: 6,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.44 : 7,082.82 = 4,465.86 : x
  2. Step 2: Convert to fraction form
    5,128.44/7,082.82 = 4,465.86/x
  3. Step 3: Cross multiply
    5,128.44x = 7,082.82 × 4,465.86
  4. Step 4: Simplify right side
    5,128.44x = 31,630,882.53
  5. Step 5: Solve for x
    x = 31,630,882.53/5,128.44
  6. Step 6: Final answer
    x = 6,167.74

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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.