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Finding the Fourth Proportional to 3,513.52, 4,846.56 and 2,116

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Solution

The fourth proportional to 3,513.52, 4,846.56 and 2,116 is: 2,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.52 : 4,846.56 = 2,116 : x
  2. Step 2: Convert to fraction form
    3,513.52/4,846.56 = 2,116/x
  3. Step 3: Cross multiply
    3,513.52x = 4,846.56 × 2,116
  4. Step 4: Simplify right side
    3,513.52x = 10,255,320.96
  5. Step 5: Solve for x
    x = 10,255,320.96/3,513.52
  6. Step 6: Final answer
    x = 2,918.82

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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.