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Finding the Fourth Proportional to 5,358.66, 8,028 and 3,160.86

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Solution

The fourth proportional to 5,358.66, 8,028 and 3,160.86 is: 4,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.66 : 8,028 = 3,160.86 : x
  2. Step 2: Convert to fraction form
    5,358.66/8,028 = 3,160.86/x
  3. Step 3: Cross multiply
    5,358.66x = 8,028 × 3,160.86
  4. Step 4: Simplify right side
    5,358.66x = 25,375,384.08
  5. Step 5: Solve for x
    x = 25,375,384.08/5,358.66
  6. Step 6: Final answer
    x = 4,735.40

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Why These Related Problems?

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