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Finding the Fourth Proportional to 5,574.56, 7,675.36 and 4,733.52

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Solution

The fourth proportional to 5,574.56, 7,675.36 and 4,733.52 is: 6,517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.56 : 7,675.36 = 4,733.52 : x
  2. Step 2: Convert to fraction form
    5,574.56/7,675.36 = 4,733.52/x
  3. Step 3: Cross multiply
    5,574.56x = 7,675.36 × 4,733.52
  4. Step 4: Simplify right side
    5,574.56x = 36,331,470.07
  5. Step 5: Solve for x
    x = 36,331,470.07/5,574.56
  6. Step 6: Final answer
    x = 6,517.37

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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.