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Finding the Fourth Proportional to 3,650.30, 5,475.74 and 1,457.82

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Solution

The fourth proportional to 3,650.30, 5,475.74 and 1,457.82 is: 2,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.30 : 5,475.74 = 1,457.82 : x
  2. Step 2: Convert to fraction form
    3,650.30/5,475.74 = 1,457.82/x
  3. Step 3: Cross multiply
    3,650.30x = 5,475.74 × 1,457.82
  4. Step 4: Simplify right side
    3,650.30x = 7,982,636.00
  5. Step 5: Solve for x
    x = 7,982,636.00/3,650.30
  6. Step 6: Final answer
    x = 2,186.85

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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.