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Finding the Fourth Proportional to 3,461.43, 5,190.07 and 1,457.73

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Solution

The fourth proportional to 3,461.43, 5,190.07 and 1,457.73 is: 2,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.43 : 5,190.07 = 1,457.73 : x
  2. Step 2: Convert to fraction form
    3,461.43/5,190.07 = 1,457.73/x
  3. Step 3: Cross multiply
    3,461.43x = 5,190.07 × 1,457.73
  4. Step 4: Simplify right side
    3,461.43x = 7,565,740.70
  5. Step 5: Solve for x
    x = 7,565,740.70/3,461.43
  6. Step 6: Final answer
    x = 2,185.72

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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.