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Finding the Fourth Proportional to 4,469.69, 6,731.30 and 4,070.66

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Solution

The fourth proportional to 4,469.69, 6,731.30 and 4,070.66 is: 6,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.69 : 6,731.30 = 4,070.66 : x
  2. Step 2: Convert to fraction form
    4,469.69/6,731.30 = 4,070.66/x
  3. Step 3: Cross multiply
    4,469.69x = 6,731.30 × 4,070.66
  4. Step 4: Simplify right side
    4,469.69x = 27,400,806.75
  5. Step 5: Solve for x
    x = 27,400,806.75/4,469.69
  6. Step 6: Final answer
    x = 6,130.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.