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Finding the Fourth Proportional to 5,470.52, 7,550 and 3,113.24

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Solution

The fourth proportional to 5,470.52, 7,550 and 3,113.24 is: 4,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.52 : 7,550 = 3,113.24 : x
  2. Step 2: Convert to fraction form
    5,470.52/7,550 = 3,113.24/x
  3. Step 3: Cross multiply
    5,470.52x = 7,550 × 3,113.24
  4. Step 4: Simplify right side
    5,470.52x = 23,504,962
  5. Step 5: Solve for x
    x = 23,504,962/5,470.52
  6. Step 6: Final answer
    x = 4,296.66

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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.