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Finding the Fourth Proportional to 5,457.35, 8,186.03 and 1,561.76

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Solution

The fourth proportional to 5,457.35, 8,186.03 and 1,561.76 is: 2,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.35 : 8,186.03 = 1,561.76 : x
  2. Step 2: Convert to fraction form
    5,457.35/8,186.03 = 1,561.76/x
  3. Step 3: Cross multiply
    5,457.35x = 8,186.03 × 1,561.76
  4. Step 4: Simplify right side
    5,457.35x = 12,784,614.21
  5. Step 5: Solve for x
    x = 12,784,614.21/5,457.35
  6. Step 6: Final answer
    x = 2,342.64

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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.