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Finding the Fourth Proportional to 3,764.60, 5,646.90 and 3,181.40

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Solution

The fourth proportional to 3,764.60, 5,646.90 and 3,181.40 is: 4,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.60 : 5,646.90 = 3,181.40 : x
  2. Step 2: Convert to fraction form
    3,764.60/5,646.90 = 3,181.40/x
  3. Step 3: Cross multiply
    3,764.60x = 5,646.90 × 3,181.40
  4. Step 4: Simplify right side
    3,764.60x = 17,965,047.66
  5. Step 5: Solve for x
    x = 17,965,047.66/3,764.60
  6. Step 6: Final answer
    x = 4,772.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.