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Finding the Fourth Proportional to 3,766.12, 5,647.90 and 1,457

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Solution

The fourth proportional to 3,766.12, 5,647.90 and 1,457 is: 2,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.12 : 5,647.90 = 1,457 : x
  2. Step 2: Convert to fraction form
    3,766.12/5,647.90 = 1,457/x
  3. Step 3: Cross multiply
    3,766.12x = 5,647.90 × 1,457
  4. Step 4: Simplify right side
    3,766.12x = 8,228,990.30
  5. Step 5: Solve for x
    x = 8,228,990.30/3,766.12
  6. Step 6: Final answer
    x = 2,185.00

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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.