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Finding the Fourth Proportional to 4,649.49, 6,974.37 and 1,688.54

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Solution

The fourth proportional to 4,649.49, 6,974.37 and 1,688.54 is: 2,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.49 : 6,974.37 = 1,688.54 : x
  2. Step 2: Convert to fraction form
    4,649.49/6,974.37 = 1,688.54/x
  3. Step 3: Cross multiply
    4,649.49x = 6,974.37 × 1,688.54
  4. Step 4: Simplify right side
    4,649.49x = 11,776,467.85
  5. Step 5: Solve for x
    x = 11,776,467.85/4,649.49
  6. Step 6: Final answer
    x = 2,532.85

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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.