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Finding the Fourth Proportional to 5,785.39, 7,984 and 3,427.53

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Solution

The fourth proportional to 5,785.39, 7,984 and 3,427.53 is: 4,730.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.39 : 7,984 = 3,427.53 : x
  2. Step 2: Convert to fraction form
    5,785.39/7,984 = 3,427.53/x
  3. Step 3: Cross multiply
    5,785.39x = 7,984 × 3,427.53
  4. Step 4: Simplify right side
    5,785.39x = 27,365,399.52
  5. Step 5: Solve for x
    x = 27,365,399.52/5,785.39
  6. Step 6: Final answer
    x = 4,730.09

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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.