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Finding the Fourth Proportional to 5,903.94, 8,144.82 and 3,661.32

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Solution

The fourth proportional to 5,903.94, 8,144.82 and 3,661.32 is: 5,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.94 : 8,144.82 = 3,661.32 : x
  2. Step 2: Convert to fraction form
    5,903.94/8,144.82 = 3,661.32/x
  3. Step 3: Cross multiply
    5,903.94x = 8,144.82 × 3,661.32
  4. Step 4: Simplify right side
    5,903.94x = 29,820,792.36
  5. Step 5: Solve for x
    x = 29,820,792.36/5,903.94
  6. Step 6: Final answer
    x = 5,051.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.