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Finding the Fourth Proportional to 4,469.60, 6,698.13 and 3,808

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Solution

The fourth proportional to 4,469.60, 6,698.13 and 3,808 is: 5,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.60 : 6,698.13 = 3,808 : x
  2. Step 2: Convert to fraction form
    4,469.60/6,698.13 = 3,808/x
  3. Step 3: Cross multiply
    4,469.60x = 6,698.13 × 3,808
  4. Step 4: Simplify right side
    4,469.60x = 25,506,479.04
  5. Step 5: Solve for x
    x = 25,506,479.04/4,469.60
  6. Step 6: Final answer
    x = 5,706.66

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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.