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Finding the Fourth Proportional to 5,733.48, 7,904.34 and 4,738.44

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Solution

The fourth proportional to 5,733.48, 7,904.34 and 4,738.44 is: 6,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.48 : 7,904.34 = 4,738.44 : x
  2. Step 2: Convert to fraction form
    5,733.48/7,904.34 = 4,738.44/x
  3. Step 3: Cross multiply
    5,733.48x = 7,904.34 × 4,738.44
  4. Step 4: Simplify right side
    5,733.48x = 37,454,240.83
  5. Step 5: Solve for x
    x = 37,454,240.83/5,733.48
  6. Step 6: Final answer
    x = 6,532.55

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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.