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Finding the Fourth Proportional to 3,144.34, 4,682.28 and 3,109.83

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Solution

The fourth proportional to 3,144.34, 4,682.28 and 3,109.83 is: 4,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.34 : 4,682.28 = 3,109.83 : x
  2. Step 2: Convert to fraction form
    3,144.34/4,682.28 = 3,109.83/x
  3. Step 3: Cross multiply
    3,144.34x = 4,682.28 × 3,109.83
  4. Step 4: Simplify right side
    3,144.34x = 14,561,094.81
  5. Step 5: Solve for x
    x = 14,561,094.81/3,144.34
  6. Step 6: Final answer
    x = 4,630.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.