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Finding the Fourth Proportional to 4,054.49, 6,078.14 and 1,591.08

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Solution

The fourth proportional to 4,054.49, 6,078.14 and 1,591.08 is: 2,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.49 : 6,078.14 = 1,591.08 : x
  2. Step 2: Convert to fraction form
    4,054.49/6,078.14 = 1,591.08/x
  3. Step 3: Cross multiply
    4,054.49x = 6,078.14 × 1,591.08
  4. Step 4: Simplify right side
    4,054.49x = 9,670,806.99
  5. Step 5: Solve for x
    x = 9,670,806.99/4,054.49
  6. Step 6: Final answer
    x = 2,385.21

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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.