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Finding the Fourth Proportional to 4,114.80, 5,683.32 and 3,278.34

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Solution

The fourth proportional to 4,114.80, 5,683.32 and 3,278.34 is: 4,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.80 : 5,683.32 = 3,278.34 : x
  2. Step 2: Convert to fraction form
    4,114.80/5,683.32 = 3,278.34/x
  3. Step 3: Cross multiply
    4,114.80x = 5,683.32 × 3,278.34
  4. Step 4: Simplify right side
    4,114.80x = 18,631,855.29
  5. Step 5: Solve for x
    x = 18,631,855.29/4,114.80
  6. Step 6: Final answer
    x = 4,528.01

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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.