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Finding the Fourth Proportional to 3,652.40, 5,451.93 and 3,215

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Solution

The fourth proportional to 3,652.40, 5,451.93 and 3,215 is: 4,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.40 : 5,451.93 = 3,215 : x
  2. Step 2: Convert to fraction form
    3,652.40/5,451.93 = 3,215/x
  3. Step 3: Cross multiply
    3,652.40x = 5,451.93 × 3,215
  4. Step 4: Simplify right side
    3,652.40x = 17,527,938.88
  5. Step 5: Solve for x
    x = 17,527,938.88/3,652.40
  6. Step 6: Final answer
    x = 4,799.02

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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.