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Finding the Fourth Proportional to 3,980.66, 5,478.81 and 3,505.45

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Solution

The fourth proportional to 3,980.66, 5,478.81 and 3,505.45 is: 4,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.66 : 5,478.81 = 3,505.45 : x
  2. Step 2: Convert to fraction form
    3,980.66/5,478.81 = 3,505.45/x
  3. Step 3: Cross multiply
    3,980.66x = 5,478.81 × 3,505.45
  4. Step 4: Simplify right side
    3,980.66x = 19,205,683.69
  5. Step 5: Solve for x
    x = 19,205,683.69/3,980.66
  6. Step 6: Final answer
    x = 4,824.75

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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.