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Finding the Fourth Proportional to 5,617.08, 8,425.80 and 1,457.22

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Solution

The fourth proportional to 5,617.08, 8,425.80 and 1,457.22 is: 2,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.08 : 8,425.80 = 1,457.22 : x
  2. Step 2: Convert to fraction form
    5,617.08/8,425.80 = 1,457.22/x
  3. Step 3: Cross multiply
    5,617.08x = 8,425.80 × 1,457.22
  4. Step 4: Simplify right side
    5,617.08x = 12,278,244.28
  5. Step 5: Solve for x
    x = 12,278,244.28/5,617.08
  6. Step 6: Final answer
    x = 2,185.88

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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.