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Finding the Fourth Proportional to 3,995.60, 5,994 and 1,804.95

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Solution

The fourth proportional to 3,995.60, 5,994 and 1,804.95 is: 2,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.60 : 5,994 = 1,804.95 : x
  2. Step 2: Convert to fraction form
    3,995.60/5,994 = 1,804.95/x
  3. Step 3: Cross multiply
    3,995.60x = 5,994 × 1,804.95
  4. Step 4: Simplify right side
    3,995.60x = 10,818,870.30
  5. Step 5: Solve for x
    x = 10,818,870.30/3,995.60
  6. Step 6: Final answer
    x = 2,707.70

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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.