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Finding the Fourth Proportional to 4,533.72, 6,257.16 and 3,278.94

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Solution

The fourth proportional to 4,533.72, 6,257.16 and 3,278.94 is: 4,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.72 : 6,257.16 = 3,278.94 : x
  2. Step 2: Convert to fraction form
    4,533.72/6,257.16 = 3,278.94/x
  3. Step 3: Cross multiply
    4,533.72x = 6,257.16 × 3,278.94
  4. Step 4: Simplify right side
    4,533.72x = 20,516,852.21
  5. Step 5: Solve for x
    x = 20,516,852.21/4,533.72
  6. Step 6: Final answer
    x = 4,525.39

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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.