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Finding the Fourth Proportional to 5,965.94, 8,949 and 2,070.47

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Solution

The fourth proportional to 5,965.94, 8,949 and 2,070.47 is: 3,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.94 : 8,949 = 2,070.47 : x
  2. Step 2: Convert to fraction form
    5,965.94/8,949 = 2,070.47/x
  3. Step 3: Cross multiply
    5,965.94x = 8,949 × 2,070.47
  4. Step 4: Simplify right side
    5,965.94x = 18,528,636.03
  5. Step 5: Solve for x
    x = 18,528,636.03/5,965.94
  6. Step 6: Final answer
    x = 3,105.74

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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.