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Finding the Fourth Proportional to 4,133.36, 5,699.22 and 3,083.60

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Solution

The fourth proportional to 4,133.36, 5,699.22 and 3,083.60 is: 4,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.36 : 5,699.22 = 3,083.60 : x
  2. Step 2: Convert to fraction form
    4,133.36/5,699.22 = 3,083.60/x
  3. Step 3: Cross multiply
    4,133.36x = 5,699.22 × 3,083.60
  4. Step 4: Simplify right side
    4,133.36x = 17,574,114.79
  5. Step 5: Solve for x
    x = 17,574,114.79/4,133.36
  6. Step 6: Final answer
    x = 4,251.77

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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.