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Finding the Fourth Proportional to 4,115.34, 5,679 and 2,346.60

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Solution

The fourth proportional to 4,115.34, 5,679 and 2,346.60 is: 3,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.34 : 5,679 = 2,346.60 : x
  2. Step 2: Convert to fraction form
    4,115.34/5,679 = 2,346.60/x
  3. Step 3: Cross multiply
    4,115.34x = 5,679 × 2,346.60
  4. Step 4: Simplify right side
    4,115.34x = 13,326,341.40
  5. Step 5: Solve for x
    x = 13,326,341.40/4,115.34
  6. Step 6: Final answer
    x = 3,238.21

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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.