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Finding the Fourth Proportional to 5,468.65, 8,206.60 and 3,005.19

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Solution

The fourth proportional to 5,468.65, 8,206.60 and 3,005.19 is: 4,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.65 : 8,206.60 = 3,005.19 : x
  2. Step 2: Convert to fraction form
    5,468.65/8,206.60 = 3,005.19/x
  3. Step 3: Cross multiply
    5,468.65x = 8,206.60 × 3,005.19
  4. Step 4: Simplify right side
    5,468.65x = 24,662,392.25
  5. Step 5: Solve for x
    x = 24,662,392.25/5,468.65
  6. Step 6: Final answer
    x = 4,509.78

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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.