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Finding the Fourth Proportional to 3,907.31, 5,394.60 and 3,486.94

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Solution

The fourth proportional to 3,907.31, 5,394.60 and 3,486.94 is: 4,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.31 : 5,394.60 = 3,486.94 : x
  2. Step 2: Convert to fraction form
    3,907.31/5,394.60 = 3,486.94/x
  3. Step 3: Cross multiply
    3,907.31x = 5,394.60 × 3,486.94
  4. Step 4: Simplify right side
    3,907.31x = 18,810,646.52
  5. Step 5: Solve for x
    x = 18,810,646.52/3,907.31
  6. Step 6: Final answer
    x = 4,814.22

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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.