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Finding the Fourth Proportional to 5,668.66, 8,478.30 and 3,323.08

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Solution

The fourth proportional to 5,668.66, 8,478.30 and 3,323.08 is: 4,970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.66 : 8,478.30 = 3,323.08 : x
  2. Step 2: Convert to fraction form
    5,668.66/8,478.30 = 3,323.08/x
  3. Step 3: Cross multiply
    5,668.66x = 8,478.30 × 3,323.08
  4. Step 4: Simplify right side
    5,668.66x = 28,174,069.16
  5. Step 5: Solve for x
    x = 28,174,069.16/5,668.66
  6. Step 6: Final answer
    x = 4,970.15

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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.