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Finding the Fourth Proportional to 4,645.14, 6,967.76 and 3,719.49

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Solution

The fourth proportional to 4,645.14, 6,967.76 and 3,719.49 is: 5,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.14 : 6,967.76 = 3,719.49 : x
  2. Step 2: Convert to fraction form
    4,645.14/6,967.76 = 3,719.49/x
  3. Step 3: Cross multiply
    4,645.14x = 6,967.76 × 3,719.49
  4. Step 4: Simplify right side
    4,645.14x = 25,916,495.04
  5. Step 5: Solve for x
    x = 25,916,495.04/4,645.14
  6. Step 6: Final answer
    x = 5,579.27

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