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Finding the Fourth Proportional to 5,681.90, 7,841.12 and 3,164.02

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Solution

The fourth proportional to 5,681.90, 7,841.12 and 3,164.02 is: 4,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.90 : 7,841.12 = 3,164.02 : x
  2. Step 2: Convert to fraction form
    5,681.90/7,841.12 = 3,164.02/x
  3. Step 3: Cross multiply
    5,681.90x = 7,841.12 × 3,164.02
  4. Step 4: Simplify right side
    5,681.90x = 24,809,425.08
  5. Step 5: Solve for x
    x = 24,809,425.08/5,681.90
  6. Step 6: Final answer
    x = 4,366.39

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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.