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Finding the Fourth Proportional to 5,303.05, 7,951.83 and 2,378.84

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Solution

The fourth proportional to 5,303.05, 7,951.83 and 2,378.84 is: 3,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.05 : 7,951.83 = 2,378.84 : x
  2. Step 2: Convert to fraction form
    5,303.05/7,951.83 = 2,378.84/x
  3. Step 3: Cross multiply
    5,303.05x = 7,951.83 × 2,378.84
  4. Step 4: Simplify right side
    5,303.05x = 18,916,131.28
  5. Step 5: Solve for x
    x = 18,916,131.28/5,303.05
  6. Step 6: Final answer
    x = 3,567.03

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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.