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Finding the Fourth Proportional to 3,809.54, 5,256.80 and 2,130.78

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Solution

The fourth proportional to 3,809.54, 5,256.80 and 2,130.78 is: 2,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.54 : 5,256.80 = 2,130.78 : x
  2. Step 2: Convert to fraction form
    3,809.54/5,256.80 = 2,130.78/x
  3. Step 3: Cross multiply
    3,809.54x = 5,256.80 × 2,130.78
  4. Step 4: Simplify right side
    3,809.54x = 11,201,084.30
  5. Step 5: Solve for x
    x = 11,201,084.30/3,809.54
  6. Step 6: Final answer
    x = 2,940.27

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1.5x scale

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.