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Finding the Fourth Proportional to 3,406.51, 5,109.75 and 941.33

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Solution

The fourth proportional to 3,406.51, 5,109.75 and 941.33 is: 1,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.51 : 5,109.75 = 941.33 : x
  2. Step 2: Convert to fraction form
    3,406.51/5,109.75 = 941.33/x
  3. Step 3: Cross multiply
    3,406.51x = 5,109.75 × 941.33
  4. Step 4: Simplify right side
    3,406.51x = 4,809,937.77
  5. Step 5: Solve for x
    x = 4,809,937.77/3,406.51
  6. Step 6: Final answer
    x = 1,411.98

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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.