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Finding the Fourth Proportional to 5,374.44, 7,414.14 and 3,486.63

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Solution

The fourth proportional to 5,374.44, 7,414.14 and 3,486.63 is: 4,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.44 : 7,414.14 = 3,486.63 : x
  2. Step 2: Convert to fraction form
    5,374.44/7,414.14 = 3,486.63/x
  3. Step 3: Cross multiply
    5,374.44x = 7,414.14 × 3,486.63
  4. Step 4: Simplify right side
    5,374.44x = 25,850,362.95
  5. Step 5: Solve for x
    x = 25,850,362.95/5,374.44
  6. Step 6: Final answer
    x = 4,809.87

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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.