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Finding the Fourth Proportional to 5,425.16, 8,137.73 and 5,148.14

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Solution

The fourth proportional to 5,425.16, 8,137.73 and 5,148.14 is: 7,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.16 : 8,137.73 = 5,148.14 : x
  2. Step 2: Convert to fraction form
    5,425.16/8,137.73 = 5,148.14/x
  3. Step 3: Cross multiply
    5,425.16x = 8,137.73 × 5,148.14
  4. Step 4: Simplify right side
    5,425.16x = 41,894,145.50
  5. Step 5: Solve for x
    x = 41,894,145.50/5,425.16
  6. Step 6: Final answer
    x = 7,722.20

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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.