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Finding the Fourth Proportional to 5,238.32, 7,835.51 and 4,844.66

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Solution

The fourth proportional to 5,238.32, 7,835.51 and 4,844.66 is: 7,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.32 : 7,835.51 = 4,844.66 : x
  2. Step 2: Convert to fraction form
    5,238.32/7,835.51 = 4,844.66/x
  3. Step 3: Cross multiply
    5,238.32x = 7,835.51 × 4,844.66
  4. Step 4: Simplify right side
    5,238.32x = 37,960,413.58
  5. Step 5: Solve for x
    x = 37,960,413.58/5,238.32
  6. Step 6: Final answer
    x = 7,246.67

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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.