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Finding the Fourth Proportional to 4,678.36, 7,016.82 and 1,600.36

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Solution

The fourth proportional to 4,678.36, 7,016.82 and 1,600.36 is: 2,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.36 : 7,016.82 = 1,600.36 : x
  2. Step 2: Convert to fraction form
    4,678.36/7,016.82 = 1,600.36/x
  3. Step 3: Cross multiply
    4,678.36x = 7,016.82 × 1,600.36
  4. Step 4: Simplify right side
    4,678.36x = 11,229,438.06
  5. Step 5: Solve for x
    x = 11,229,438.06/4,678.36
  6. Step 6: Final answer
    x = 2,400.29

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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.