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Finding the Fourth Proportional to 3,768.30, 5,648.40 and 2,308.44

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Solution

The fourth proportional to 3,768.30, 5,648.40 and 2,308.44 is: 3,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.30 : 5,648.40 = 2,308.44 : x
  2. Step 2: Convert to fraction form
    3,768.30/5,648.40 = 2,308.44/x
  3. Step 3: Cross multiply
    3,768.30x = 5,648.40 × 2,308.44
  4. Step 4: Simplify right side
    3,768.30x = 13,038,992.50
  5. Step 5: Solve for x
    x = 13,038,992.50/3,768.30
  6. Step 6: Final answer
    x = 3,460.18

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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.