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Finding the Fourth Proportional to 4,762.87, 6,573.96 and 3,172.16

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Solution

The fourth proportional to 4,762.87, 6,573.96 and 3,172.16 is: 4,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.87 : 6,573.96 = 3,172.16 : x
  2. Step 2: Convert to fraction form
    4,762.87/6,573.96 = 3,172.16/x
  3. Step 3: Cross multiply
    4,762.87x = 6,573.96 × 3,172.16
  4. Step 4: Simplify right side
    4,762.87x = 20,853,669.39
  5. Step 5: Solve for x
    x = 20,853,669.39/4,762.87
  6. Step 6: Final answer
    x = 4,378.39

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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.