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Finding the Fourth Proportional to 5,628.40, 8,445.24 and 3,780.40

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Solution

The fourth proportional to 5,628.40, 8,445.24 and 3,780.40 is: 5,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.40 : 8,445.24 = 3,780.40 : x
  2. Step 2: Convert to fraction form
    5,628.40/8,445.24 = 3,780.40/x
  3. Step 3: Cross multiply
    5,628.40x = 8,445.24 × 3,780.40
  4. Step 4: Simplify right side
    5,628.40x = 31,926,385.30
  5. Step 5: Solve for x
    x = 31,926,385.30/5,628.40
  6. Step 6: Final answer
    x = 5,672.37

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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.