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Finding the Fourth Proportional to 5,965.47, 8,946 and 2,265.84

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Solution

The fourth proportional to 5,965.47, 8,946 and 2,265.84 is: 3,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.47 : 8,946 = 2,265.84 : x
  2. Step 2: Convert to fraction form
    5,965.47/8,946 = 2,265.84/x
  3. Step 3: Cross multiply
    5,965.47x = 8,946 × 2,265.84
  4. Step 4: Simplify right side
    5,965.47x = 20,270,204.64
  5. Step 5: Solve for x
    x = 20,270,204.64/5,965.47
  6. Step 6: Final answer
    x = 3,397.92

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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.