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Finding the Fourth Proportional to 3,433.14, 5,152.23 and 2,655.06

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Solution

The fourth proportional to 3,433.14, 5,152.23 and 2,655.06 is: 3,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.14 : 5,152.23 = 2,655.06 : x
  2. Step 2: Convert to fraction form
    3,433.14/5,152.23 = 2,655.06/x
  3. Step 3: Cross multiply
    3,433.14x = 5,152.23 × 2,655.06
  4. Step 4: Simplify right side
    3,433.14x = 13,679,479.78
  5. Step 5: Solve for x
    x = 13,679,479.78/3,433.14
  6. Step 6: Final answer
    x = 3,984.54

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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.