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Finding the Fourth Proportional to 4,938.18, 6,810.63 and 4,194.66

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Solution

The fourth proportional to 4,938.18, 6,810.63 and 4,194.66 is: 5,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.18 : 6,810.63 = 4,194.66 : x
  2. Step 2: Convert to fraction form
    4,938.18/6,810.63 = 4,194.66/x
  3. Step 3: Cross multiply
    4,938.18x = 6,810.63 × 4,194.66
  4. Step 4: Simplify right side
    4,938.18x = 28,568,277.24
  5. Step 5: Solve for x
    x = 28,568,277.24/4,938.18
  6. Step 6: Final answer
    x = 5,785.18

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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.