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Finding the Fourth Proportional to 3,649.55, 5,474.61 and 1,457.07

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Solution

The fourth proportional to 3,649.55, 5,474.61 and 1,457.07 is: 2,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.55 : 5,474.61 = 1,457.07 : x
  2. Step 2: Convert to fraction form
    3,649.55/5,474.61 = 1,457.07/x
  3. Step 3: Cross multiply
    3,649.55x = 5,474.61 × 1,457.07
  4. Step 4: Simplify right side
    3,649.55x = 7,976,889.99
  5. Step 5: Solve for x
    x = 7,976,889.99/3,649.55
  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.