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Finding the Fourth Proportional to 3,465.96, 5,190.81 and 3,007.50

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Solution

The fourth proportional to 3,465.96, 5,190.81 and 3,007.50 is: 4,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.96 : 5,190.81 = 3,007.50 : x
  2. Step 2: Convert to fraction form
    3,465.96/5,190.81 = 3,007.50/x
  3. Step 3: Cross multiply
    3,465.96x = 5,190.81 × 3,007.50
  4. Step 4: Simplify right side
    3,465.96x = 15,611,361.08
  5. Step 5: Solve for x
    x = 15,611,361.08/3,465.96
  6. Step 6: Final answer
    x = 4,504.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.