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Finding the Fourth Proportional to 3,534.41, 4,877.24 and 1,962.38

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Solution

The fourth proportional to 3,534.41, 4,877.24 and 1,962.38 is: 2,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.41 : 4,877.24 = 1,962.38 : x
  2. Step 2: Convert to fraction form
    3,534.41/4,877.24 = 1,962.38/x
  3. Step 3: Cross multiply
    3,534.41x = 4,877.24 × 1,962.38
  4. Step 4: Simplify right side
    3,534.41x = 9,570,964.03
  5. Step 5: Solve for x
    x = 9,570,964.03/3,534.41
  6. Step 6: Final answer
    x = 2,707.94

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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.