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Finding the Fourth Proportional to 5,286.37, 7,283.44 and 3,490.65

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Solution

The fourth proportional to 5,286.37, 7,283.44 and 3,490.65 is: 4,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.37 : 7,283.44 = 3,490.65 : x
  2. Step 2: Convert to fraction form
    5,286.37/7,283.44 = 3,490.65/x
  3. Step 3: Cross multiply
    5,286.37x = 7,283.44 × 3,490.65
  4. Step 4: Simplify right side
    5,286.37x = 25,423,939.84
  5. Step 5: Solve for x
    x = 25,423,939.84/5,286.37
  6. Step 6: Final answer
    x = 4,809.34

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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.