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Finding the Fourth Proportional to 4,688.94, 6,464.06 and 3,194.94

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Solution

The fourth proportional to 4,688.94, 6,464.06 and 3,194.94 is: 4,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.94 : 6,464.06 = 3,194.94 : x
  2. Step 2: Convert to fraction form
    4,688.94/6,464.06 = 3,194.94/x
  3. Step 3: Cross multiply
    4,688.94x = 6,464.06 × 3,194.94
  4. Step 4: Simplify right side
    4,688.94x = 20,652,267.88
  5. Step 5: Solve for x
    x = 20,652,267.88/4,688.94
  6. Step 6: Final answer
    x = 4,404.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.