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Finding the Fourth Proportional to 4,705.46, 7,057.28 and 1,782.80

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Solution

The fourth proportional to 4,705.46, 7,057.28 and 1,782.80 is: 2,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.46 : 7,057.28 = 1,782.80 : x
  2. Step 2: Convert to fraction form
    4,705.46/7,057.28 = 1,782.80/x
  3. Step 3: Cross multiply
    4,705.46x = 7,057.28 × 1,782.80
  4. Step 4: Simplify right side
    4,705.46x = 12,581,718.78
  5. Step 5: Solve for x
    x = 12,581,718.78/4,705.46
  6. Step 6: Final answer
    x = 2,673.86

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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.