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Finding the Fourth Proportional to 5,483.76, 7,567.12 and 3,245.44

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Solution

The fourth proportional to 5,483.76, 7,567.12 and 3,245.44 is: 4,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.76 : 7,567.12 = 3,245.44 : x
  2. Step 2: Convert to fraction form
    5,483.76/7,567.12 = 3,245.44/x
  3. Step 3: Cross multiply
    5,483.76x = 7,567.12 × 3,245.44
  4. Step 4: Simplify right side
    5,483.76x = 24,558,633.93
  5. Step 5: Solve for x
    x = 24,558,633.93/5,483.76
  6. Step 6: Final answer
    x = 4,478.43

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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.