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Finding the Fourth Proportional to 5,457.80, 8,186.88 and 1,561.88

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Solution

The fourth proportional to 5,457.80, 8,186.88 and 1,561.88 is: 2,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.80 : 8,186.88 = 1,561.88 : x
  2. Step 2: Convert to fraction form
    5,457.80/8,186.88 = 1,561.88/x
  3. Step 3: Cross multiply
    5,457.80x = 8,186.88 × 1,561.88
  4. Step 4: Simplify right side
    5,457.80x = 12,786,924.13
  5. Step 5: Solve for x
    x = 12,786,924.13/5,457.80
  6. Step 6: Final answer
    x = 2,342.87

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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.