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Finding the Fourth Proportional to 4,891.23, 6,749.82 and 2,653.02

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Solution

The fourth proportional to 4,891.23, 6,749.82 and 2,653.02 is: 3,661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.23 : 6,749.82 = 2,653.02 : x
  2. Step 2: Convert to fraction form
    4,891.23/6,749.82 = 2,653.02/x
  3. Step 3: Cross multiply
    4,891.23x = 6,749.82 × 2,653.02
  4. Step 4: Simplify right side
    4,891.23x = 17,907,407.46
  5. Step 5: Solve for x
    x = 17,907,407.46/4,891.23
  6. Step 6: Final answer
    x = 3,661.13

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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.