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Finding the Fourth Proportional to 3,361.09, 5,041.63 and 895.92

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Solution

The fourth proportional to 3,361.09, 5,041.63 and 895.92 is: 1,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.09 : 5,041.63 = 895.92 : x
  2. Step 2: Convert to fraction form
    3,361.09/5,041.63 = 895.92/x
  3. Step 3: Cross multiply
    3,361.09x = 5,041.63 × 895.92
  4. Step 4: Simplify right side
    3,361.09x = 4,516,897.15
  5. Step 5: Solve for x
    x = 4,516,897.15/3,361.09
  6. Step 6: Final answer
    x = 1,343.88

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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.