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Finding the Fourth Proportional to 3,445.89, 5,168.81 and 980.71

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Solution

The fourth proportional to 3,445.89, 5,168.81 and 980.71 is: 1,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.89 : 5,168.81 = 980.71 : x
  2. Step 2: Convert to fraction form
    3,445.89/5,168.81 = 980.71/x
  3. Step 3: Cross multiply
    3,445.89x = 5,168.81 × 980.71
  4. Step 4: Simplify right side
    3,445.89x = 5,069,093.18
  5. Step 5: Solve for x
    x = 5,069,093.18/3,445.89
  6. Step 6: Final answer
    x = 1,471.05

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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.