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Finding the Fourth Proportional to 4,891.14, 6,749.76 and 2,653.02

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Solution

The fourth proportional to 4,891.14, 6,749.76 and 2,653.02 is: 3,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.14 : 6,749.76 = 2,653.02 : x
  2. Step 2: Convert to fraction form
    4,891.14/6,749.76 = 2,653.02/x
  3. Step 3: Cross multiply
    4,891.14x = 6,749.76 × 2,653.02
  4. Step 4: Simplify right side
    4,891.14x = 17,907,248.28
  5. Step 5: Solve for x
    x = 17,907,248.28/4,891.14
  6. Step 6: Final answer
    x = 3,661.16

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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.