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Finding the Fourth Proportional to 3,918.63, 5,406.71 and 2,345.61

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Solution

The fourth proportional to 3,918.63, 5,406.71 and 2,345.61 is: 3,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.63 : 5,406.71 = 2,345.61 : x
  2. Step 2: Convert to fraction form
    3,918.63/5,406.71 = 2,345.61/x
  3. Step 3: Cross multiply
    3,918.63x = 5,406.71 × 2,345.61
  4. Step 4: Simplify right side
    3,918.63x = 12,682,021.32
  5. Step 5: Solve for x
    x = 12,682,021.32/3,918.63
  6. Step 6: Final answer
    x = 3,236.34

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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.