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Finding the Fourth Proportional to 5,330, 7,356.46 and 3,092.36

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Solution

The fourth proportional to 5,330, 7,356.46 and 3,092.36 is: 4,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330 : 7,356.46 = 3,092.36 : x
  2. Step 2: Convert to fraction form
    5,330/7,356.46 = 3,092.36/x
  3. Step 3: Cross multiply
    5,330x = 7,356.46 × 3,092.36
  4. Step 4: Simplify right side
    5,330x = 22,748,822.65
  5. Step 5: Solve for x
    x = 22,748,822.65/5,330
  6. Step 6: Final answer
    x = 4,268.07

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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.