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Finding the Fourth Proportional to 5,406.16, 7,460.49 and 2,922.16

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Solution

The fourth proportional to 5,406.16, 7,460.49 and 2,922.16 is: 4,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.16 : 7,460.49 = 2,922.16 : x
  2. Step 2: Convert to fraction form
    5,406.16/7,460.49 = 2,922.16/x
  3. Step 3: Cross multiply
    5,406.16x = 7,460.49 × 2,922.16
  4. Step 4: Simplify right side
    5,406.16x = 21,800,745.46
  5. Step 5: Solve for x
    x = 21,800,745.46/5,406.16
  6. Step 6: Final answer
    x = 4,032.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.