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Finding the Fourth Proportional to 4,571.84, 6,856.14 and 1,649.36

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Solution

The fourth proportional to 4,571.84, 6,856.14 and 1,649.36 is: 2,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.84 : 6,856.14 = 1,649.36 : x
  2. Step 2: Convert to fraction form
    4,571.84/6,856.14 = 1,649.36/x
  3. Step 3: Cross multiply
    4,571.84x = 6,856.14 × 1,649.36
  4. Step 4: Simplify right side
    4,571.84x = 11,308,243.07
  5. Step 5: Solve for x
    x = 11,308,243.07/4,571.84
  6. Step 6: Final answer
    x = 2,473.46

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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.