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Finding the Fourth Proportional to 4,913.16, 7,358.88 and 3,808.80

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Solution

The fourth proportional to 4,913.16, 7,358.88 and 3,808.80 is: 5,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.16 : 7,358.88 = 3,808.80 : x
  2. Step 2: Convert to fraction form
    4,913.16/7,358.88 = 3,808.80/x
  3. Step 3: Cross multiply
    4,913.16x = 7,358.88 × 3,808.80
  4. Step 4: Simplify right side
    4,913.16x = 28,028,502.14
  5. Step 5: Solve for x
    x = 28,028,502.14/4,913.16
  6. Step 6: Final answer
    x = 5,704.78

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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.