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Finding the Fourth Proportional to 4,955.52, 6,834.75 and 2,965.68

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Solution

The fourth proportional to 4,955.52, 6,834.75 and 2,965.68 is: 4,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,955.52 : 6,834.75 = 2,965.68 : x
  2. Step 2: Convert to fraction form
    4,955.52/6,834.75 = 2,965.68/x
  3. Step 3: Cross multiply
    4,955.52x = 6,834.75 × 2,965.68
  4. Step 4: Simplify right side
    4,955.52x = 20,269,681.38
  5. Step 5: Solve for x
    x = 20,269,681.38/4,955.52
  6. Step 6: Final answer
    x = 4,090.32

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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.