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Finding the Fourth Proportional to 5,033.42, 6,946 and 2,795.29

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Solution

The fourth proportional to 5,033.42, 6,946 and 2,795.29 is: 3,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.42 : 6,946 = 2,795.29 : x
  2. Step 2: Convert to fraction form
    5,033.42/6,946 = 2,795.29/x
  3. Step 3: Cross multiply
    5,033.42x = 6,946 × 2,795.29
  4. Step 4: Simplify right side
    5,033.42x = 19,416,084.34
  5. Step 5: Solve for x
    x = 19,416,084.34/5,033.42
  6. Step 6: Final answer
    x = 3,857.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.