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Finding the Fourth Proportional to 5,735.64, 7,919.46 and 4,407.24

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Solution

The fourth proportional to 5,735.64, 7,919.46 and 4,407.24 is: 6,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.64 : 7,919.46 = 4,407.24 : x
  2. Step 2: Convert to fraction form
    5,735.64/7,919.46 = 4,407.24/x
  3. Step 3: Cross multiply
    5,735.64x = 7,919.46 × 4,407.24
  4. Step 4: Simplify right side
    5,735.64x = 34,902,960.89
  5. Step 5: Solve for x
    x = 34,902,960.89/5,735.64
  6. Step 6: Final answer
    x = 6,085.28

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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.