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Finding the Fourth Proportional to 4,616.95, 6,889.39 and 4,119.93

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Solution

The fourth proportional to 4,616.95, 6,889.39 and 4,119.93 is: 6,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.95 : 6,889.39 = 4,119.93 : x
  2. Step 2: Convert to fraction form
    4,616.95/6,889.39 = 4,119.93/x
  3. Step 3: Cross multiply
    4,616.95x = 6,889.39 × 4,119.93
  4. Step 4: Simplify right side
    4,616.95x = 28,383,804.54
  5. Step 5: Solve for x
    x = 28,383,804.54/4,616.95
  6. Step 6: Final answer
    x = 6,147.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.