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Finding the Fourth Proportional to 4,797.16, 7,197.90 and 3,154.48

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Solution

The fourth proportional to 4,797.16, 7,197.90 and 3,154.48 is: 4,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.16 : 7,197.90 = 3,154.48 : x
  2. Step 2: Convert to fraction form
    4,797.16/7,197.90 = 3,154.48/x
  3. Step 3: Cross multiply
    4,797.16x = 7,197.90 × 3,154.48
  4. Step 4: Simplify right side
    4,797.16x = 22,705,631.59
  5. Step 5: Solve for x
    x = 22,705,631.59/4,797.16
  6. Step 6: Final answer
    x = 4,733.14

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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.