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Finding the Fourth Proportional to 4,833, 6,659.66 and 4,571.60

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Solution

The fourth proportional to 4,833, 6,659.66 and 4,571.60 is: 6,299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833 : 6,659.66 = 4,571.60 : x
  2. Step 2: Convert to fraction form
    4,833/6,659.66 = 4,571.60/x
  3. Step 3: Cross multiply
    4,833x = 6,659.66 × 4,571.60
  4. Step 4: Simplify right side
    4,833x = 30,445,301.66
  5. Step 5: Solve for x
    x = 30,445,301.66/4,833
  6. Step 6: Final answer
    x = 6,299.46

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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.