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Finding the Fourth Proportional to 5,960.44, 8,223.73 and 4,697.57

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Solution

The fourth proportional to 5,960.44, 8,223.73 and 4,697.57 is: 6,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.44 : 8,223.73 = 4,697.57 : x
  2. Step 2: Convert to fraction form
    5,960.44/8,223.73 = 4,697.57/x
  3. Step 3: Cross multiply
    5,960.44x = 8,223.73 × 4,697.57
  4. Step 4: Simplify right side
    5,960.44x = 38,631,547.34
  5. Step 5: Solve for x
    x = 38,631,547.34/5,960.44
  6. Step 6: Final answer
    x = 6,481.32

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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.