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Finding the Fourth Proportional to 5,457.12, 8,185.84 and 1,759.44

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Solution

The fourth proportional to 5,457.12, 8,185.84 and 1,759.44 is: 2,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.12 : 8,185.84 = 1,759.44 : x
  2. Step 2: Convert to fraction form
    5,457.12/8,185.84 = 1,759.44/x
  3. Step 3: Cross multiply
    5,457.12x = 8,185.84 × 1,759.44
  4. Step 4: Simplify right side
    5,457.12x = 14,402,494.33
  5. Step 5: Solve for x
    x = 14,402,494.33/5,457.12
  6. Step 6: Final answer
    x = 2,639.21

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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.