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Finding the Fourth Proportional to 5,403.98, 7,460.43 and 3,734.37

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Solution

The fourth proportional to 5,403.98, 7,460.43 and 3,734.37 is: 5,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.98 : 7,460.43 = 3,734.37 : x
  2. Step 2: Convert to fraction form
    5,403.98/7,460.43 = 3,734.37/x
  3. Step 3: Cross multiply
    5,403.98x = 7,460.43 × 3,734.37
  4. Step 4: Simplify right side
    5,403.98x = 27,860,005.98
  5. Step 5: Solve for x
    x = 27,860,005.98/5,403.98
  6. Step 6: Final answer
    x = 5,155.47

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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.