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Finding the Fourth Proportional to 4,903.70, 7,355.57 and 1,783.80

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Solution

The fourth proportional to 4,903.70, 7,355.57 and 1,783.80 is: 2,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.70 : 7,355.57 = 1,783.80 : x
  2. Step 2: Convert to fraction form
    4,903.70/7,355.57 = 1,783.80/x
  3. Step 3: Cross multiply
    4,903.70x = 7,355.57 × 1,783.80
  4. Step 4: Simplify right side
    4,903.70x = 13,120,856.85
  5. Step 5: Solve for x
    x = 13,120,856.85/4,903.70
  6. Step 6: Final answer
    x = 2,675.71

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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.