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Finding the Fourth Proportional to 5,420.67, 7,478.37 and 3,653.43

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Solution

The fourth proportional to 5,420.67, 7,478.37 and 3,653.43 is: 5,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.67 : 7,478.37 = 3,653.43 : x
  2. Step 2: Convert to fraction form
    5,420.67/7,478.37 = 3,653.43/x
  3. Step 3: Cross multiply
    5,420.67x = 7,478.37 × 3,653.43
  4. Step 4: Simplify right side
    5,420.67x = 27,321,701.31
  5. Step 5: Solve for x
    x = 27,321,701.31/5,420.67
  6. Step 6: Final answer
    x = 5,040.28

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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.