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Finding the Fourth Proportional to 3,235.06, 4,848 and 1,589.95

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Solution

The fourth proportional to 3,235.06, 4,848 and 1,589.95 is: 2,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.06 : 4,848 = 1,589.95 : x
  2. Step 2: Convert to fraction form
    3,235.06/4,848 = 1,589.95/x
  3. Step 3: Cross multiply
    3,235.06x = 4,848 × 1,589.95
  4. Step 4: Simplify right side
    3,235.06x = 7,708,077.60
  5. Step 5: Solve for x
    x = 7,708,077.60/3,235.06
  6. Step 6: Final answer
    x = 2,382.67

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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.