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Finding the Fourth Proportional to 4,668, 6,999.53 and 1,380.64

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Solution

The fourth proportional to 4,668, 6,999.53 and 1,380.64 is: 2,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668 : 6,999.53 = 1,380.64 : x
  2. Step 2: Convert to fraction form
    4,668/6,999.53 = 1,380.64/x
  3. Step 3: Cross multiply
    4,668x = 6,999.53 × 1,380.64
  4. Step 4: Simplify right side
    4,668x = 9,663,806.70
  5. Step 5: Solve for x
    x = 9,663,806.70/4,668
  6. Step 6: Final answer
    x = 2,070.22

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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.