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Finding the Fourth Proportional to 5,963.04, 8,220.24 and 5,340.96

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Solution

The fourth proportional to 5,963.04, 8,220.24 and 5,340.96 is: 7,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.04 : 8,220.24 = 5,340.96 : x
  2. Step 2: Convert to fraction form
    5,963.04/8,220.24 = 5,340.96/x
  3. Step 3: Cross multiply
    5,963.04x = 8,220.24 × 5,340.96
  4. Step 4: Simplify right side
    5,963.04x = 43,903,973.03
  5. Step 5: Solve for x
    x = 43,903,973.03/5,963.04
  6. Step 6: Final answer
    x = 7,362.68

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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.