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Finding the Fourth Proportional to 3,907.68, 5,395.12 and 3,487.31

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Solution

The fourth proportional to 3,907.68, 5,395.12 and 3,487.31 is: 4,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.68 : 5,395.12 = 3,487.31 : x
  2. Step 2: Convert to fraction form
    3,907.68/5,395.12 = 3,487.31/x
  3. Step 3: Cross multiply
    3,907.68x = 5,395.12 × 3,487.31
  4. Step 4: Simplify right side
    3,907.68x = 18,814,455.93
  5. Step 5: Solve for x
    x = 18,814,455.93/3,907.68
  6. Step 6: Final answer
    x = 4,814.74

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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.