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Finding the Fourth Proportional to 4,185.93, 5,804.19 and 4,047.15

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Solution

The fourth proportional to 4,185.93, 5,804.19 and 4,047.15 is: 5,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.93 : 5,804.19 = 4,047.15 : x
  2. Step 2: Convert to fraction form
    4,185.93/5,804.19 = 4,047.15/x
  3. Step 3: Cross multiply
    4,185.93x = 5,804.19 × 4,047.15
  4. Step 4: Simplify right side
    4,185.93x = 23,490,427.56
  5. Step 5: Solve for x
    x = 23,490,427.56/4,185.93
  6. Step 6: Final answer
    x = 5,611.76

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.