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Finding the Fourth Proportional to 4,959.56, 6,841.59 and 2,969.53

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Solution

The fourth proportional to 4,959.56, 6,841.59 and 2,969.53 is: 4,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.56 : 6,841.59 = 2,969.53 : x
  2. Step 2: Convert to fraction form
    4,959.56/6,841.59 = 2,969.53/x
  3. Step 3: Cross multiply
    4,959.56x = 6,841.59 × 2,969.53
  4. Step 4: Simplify right side
    4,959.56x = 20,316,306.75
  5. Step 5: Solve for x
    x = 20,316,306.75/4,959.56
  6. Step 6: Final answer
    x = 4,096.39

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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.