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Finding the Fourth Proportional to 3,405.74, 5,108.34 and 1,457.96

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Solution

The fourth proportional to 3,405.74, 5,108.34 and 1,457.96 is: 2,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.74 : 5,108.34 = 1,457.96 : x
  2. Step 2: Convert to fraction form
    3,405.74/5,108.34 = 1,457.96/x
  3. Step 3: Cross multiply
    3,405.74x = 5,108.34 × 1,457.96
  4. Step 4: Simplify right side
    3,405.74x = 7,447,755.39
  5. Step 5: Solve for x
    x = 7,447,755.39/3,405.74
  6. Step 6: Final answer
    x = 2,186.82

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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.