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Finding the Fourth Proportional to 4,738.22, 6,541.79 and 4,240

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Solution

The fourth proportional to 4,738.22, 6,541.79 and 4,240 is: 5,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.22 : 6,541.79 = 4,240 : x
  2. Step 2: Convert to fraction form
    4,738.22/6,541.79 = 4,240/x
  3. Step 3: Cross multiply
    4,738.22x = 6,541.79 × 4,240
  4. Step 4: Simplify right side
    4,738.22x = 27,737,189.60
  5. Step 5: Solve for x
    x = 27,737,189.60/4,738.22
  6. Step 6: Final answer
    x = 5,853.93

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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.