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Finding the Fourth Proportional to 4,303.44, 6,463.80 and 3,761.28

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Solution

The fourth proportional to 4,303.44, 6,463.80 and 3,761.28 is: 5,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.44 : 6,463.80 = 3,761.28 : x
  2. Step 2: Convert to fraction form
    4,303.44/6,463.80 = 3,761.28/x
  3. Step 3: Cross multiply
    4,303.44x = 6,463.80 × 3,761.28
  4. Step 4: Simplify right side
    4,303.44x = 24,312,161.66
  5. Step 5: Solve for x
    x = 24,312,161.66/4,303.44
  6. Step 6: Final answer
    x = 5,649.47

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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.