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Finding the Fourth Proportional to 4,189.16, 6,274.02 and 4,043.36

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Solution

The fourth proportional to 4,189.16, 6,274.02 and 4,043.36 is: 6,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.16 : 6,274.02 = 4,043.36 : x
  2. Step 2: Convert to fraction form
    4,189.16/6,274.02 = 4,043.36/x
  3. Step 3: Cross multiply
    4,189.16x = 6,274.02 × 4,043.36
  4. Step 4: Simplify right side
    4,189.16x = 25,368,121.51
  5. Step 5: Solve for x
    x = 25,368,121.51/4,189.16
  6. Step 6: Final answer
    x = 6,055.66

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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.