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Finding the Fourth Proportional to 4,703.44, 6,488.24 and 3,817.68

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Solution

The fourth proportional to 4,703.44, 6,488.24 and 3,817.68 is: 5,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.44 : 6,488.24 = 3,817.68 : x
  2. Step 2: Convert to fraction form
    4,703.44/6,488.24 = 3,817.68/x
  3. Step 3: Cross multiply
    4,703.44x = 6,488.24 × 3,817.68
  4. Step 4: Simplify right side
    4,703.44x = 24,770,024.08
  5. Step 5: Solve for x
    x = 24,770,024.08/4,703.44
  6. Step 6: Final answer
    x = 5,266.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.