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Finding the Fourth Proportional to 3,415.13, 4,705.65 and 3,181.38

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Solution

The fourth proportional to 3,415.13, 4,705.65 and 3,181.38 is: 4,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.13 : 4,705.65 = 3,181.38 : x
  2. Step 2: Convert to fraction form
    3,415.13/4,705.65 = 3,181.38/x
  3. Step 3: Cross multiply
    3,415.13x = 4,705.65 × 3,181.38
  4. Step 4: Simplify right side
    3,415.13x = 14,970,460.80
  5. Step 5: Solve for x
    x = 14,970,460.80/3,415.13
  6. Step 6: Final answer
    x = 4,383.58

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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.