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Finding the Fourth Proportional to 4,533.50, 6,256.25 and 2,646.39

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Solution

The fourth proportional to 4,533.50, 6,256.25 and 2,646.39 is: 3,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.50 : 6,256.25 = 2,646.39 : x
  2. Step 2: Convert to fraction form
    4,533.50/6,256.25 = 2,646.39/x
  3. Step 3: Cross multiply
    4,533.50x = 6,256.25 × 2,646.39
  4. Step 4: Simplify right side
    4,533.50x = 16,556,477.44
  5. Step 5: Solve for x
    x = 16,556,477.44/4,533.50
  6. Step 6: Final answer
    x = 3,652.03

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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.