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Finding the Fourth Proportional to 5,201.75, 7,802.54 and 4,869.31

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Solution

The fourth proportional to 5,201.75, 7,802.54 and 4,869.31 is: 7,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.75 : 7,802.54 = 4,869.31 : x
  2. Step 2: Convert to fraction form
    5,201.75/7,802.54 = 4,869.31/x
  3. Step 3: Cross multiply
    5,201.75x = 7,802.54 × 4,869.31
  4. Step 4: Simplify right side
    5,201.75x = 37,992,986.05
  5. Step 5: Solve for x
    x = 37,992,986.05/5,201.75
  6. Step 6: Final answer
    x = 7,303.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.