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Finding the Fourth Proportional to 4,673.14, 6,446.08 and 2,783.45

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Solution

The fourth proportional to 4,673.14, 6,446.08 and 2,783.45 is: 3,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.14 : 6,446.08 = 2,783.45 : x
  2. Step 2: Convert to fraction form
    4,673.14/6,446.08 = 2,783.45/x
  3. Step 3: Cross multiply
    4,673.14x = 6,446.08 × 2,783.45
  4. Step 4: Simplify right side
    4,673.14x = 17,942,360.97
  5. Step 5: Solve for x
    x = 17,942,360.97/4,673.14
  6. Step 6: Final answer
    x = 3,839.47

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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.