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Finding the Fourth Proportional to 3,649.32, 5,472.77 and 1,457.46

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Solution

The fourth proportional to 3,649.32, 5,472.77 and 1,457.46 is: 2,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.32 : 5,472.77 = 1,457.46 : x
  2. Step 2: Convert to fraction form
    3,649.32/5,472.77 = 1,457.46/x
  3. Step 3: Cross multiply
    3,649.32x = 5,472.77 × 1,457.46
  4. Step 4: Simplify right side
    3,649.32x = 7,976,336.08
  5. Step 5: Solve for x
    x = 7,976,336.08/3,649.32
  6. Step 6: Final answer
    x = 2,185.70

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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.