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Finding the Fourth Proportional to 5,283.92, 7,918.06 and 2,160.15

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Solution

The fourth proportional to 5,283.92, 7,918.06 and 2,160.15 is: 3,237.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.92 : 7,918.06 = 2,160.15 : x
  2. Step 2: Convert to fraction form
    5,283.92/7,918.06 = 2,160.15/x
  3. Step 3: Cross multiply
    5,283.92x = 7,918.06 × 2,160.15
  4. Step 4: Simplify right side
    5,283.92x = 17,104,197.31
  5. Step 5: Solve for x
    x = 17,104,197.31/5,283.92
  6. Step 6: Final answer
    x = 3,237.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.