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Finding the Fourth Proportional to 4,205.48, 6,308.24 and 1,432.44

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Solution

The fourth proportional to 4,205.48, 6,308.24 and 1,432.44 is: 2,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.48 : 6,308.24 = 1,432.44 : x
  2. Step 2: Convert to fraction form
    4,205.48/6,308.24 = 1,432.44/x
  3. Step 3: Cross multiply
    4,205.48x = 6,308.24 × 1,432.44
  4. Step 4: Simplify right side
    4,205.48x = 9,036,168.14
  5. Step 5: Solve for x
    x = 9,036,168.14/4,205.48
  6. Step 6: Final answer
    x = 2,148.67

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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.