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Finding the Fourth Proportional to 3,433.15, 5,149.45 and 968.05

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Solution

The fourth proportional to 3,433.15, 5,149.45 and 968.05 is: 1,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.15 : 5,149.45 = 968.05 : x
  2. Step 2: Convert to fraction form
    3,433.15/5,149.45 = 968.05/x
  3. Step 3: Cross multiply
    3,433.15x = 5,149.45 × 968.05
  4. Step 4: Simplify right side
    3,433.15x = 4,984,925.07
  5. Step 5: Solve for x
    x = 4,984,925.07/3,433.15
  6. Step 6: Final answer
    x = 1,452.00

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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.