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Finding the Fourth Proportional to 3,403.81, 5,071.48 and 3,180.25

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Solution

The fourth proportional to 3,403.81, 5,071.48 and 3,180.25 is: 4,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.81 : 5,071.48 = 3,180.25 : x
  2. Step 2: Convert to fraction form
    3,403.81/5,071.48 = 3,180.25/x
  3. Step 3: Cross multiply
    3,403.81x = 5,071.48 × 3,180.25
  4. Step 4: Simplify right side
    3,403.81x = 16,128,574.27
  5. Step 5: Solve for x
    x = 16,128,574.27/3,403.81
  6. Step 6: Final answer
    x = 4,738.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.