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Finding the Fourth Proportional to 4,133.63, 5,699.76 and 3,187.28

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Solution

The fourth proportional to 4,133.63, 5,699.76 and 3,187.28 is: 4,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.63 : 5,699.76 = 3,187.28 : x
  2. Step 2: Convert to fraction form
    4,133.63/5,699.76 = 3,187.28/x
  3. Step 3: Cross multiply
    4,133.63x = 5,699.76 × 3,187.28
  4. Step 4: Simplify right side
    4,133.63x = 18,166,731.05
  5. Step 5: Solve for x
    x = 18,166,731.05/4,133.63
  6. Step 6: Final answer
    x = 4,394.86

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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.