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Finding the Fourth Proportional to 5,405.81, 8,108.11 and 1,457.46

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Solution

The fourth proportional to 5,405.81, 8,108.11 and 1,457.46 is: 2,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.81 : 8,108.11 = 1,457.46 : x
  2. Step 2: Convert to fraction form
    5,405.81/8,108.11 = 1,457.46/x
  3. Step 3: Cross multiply
    5,405.81x = 8,108.11 × 1,457.46
  4. Step 4: Simplify right side
    5,405.81x = 11,817,218.44
  5. Step 5: Solve for x
    x = 11,817,218.44/5,405.81
  6. Step 6: Final answer
    x = 2,186.02

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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.