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Finding the Fourth Proportional to 3,487.80, 5,232.84 and 1,638.84

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Solution

The fourth proportional to 3,487.80, 5,232.84 and 1,638.84 is: 2,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.80 : 5,232.84 = 1,638.84 : x
  2. Step 2: Convert to fraction form
    3,487.80/5,232.84 = 1,638.84/x
  3. Step 3: Cross multiply
    3,487.80x = 5,232.84 × 1,638.84
  4. Step 4: Simplify right side
    3,487.80x = 8,575,787.51
  5. Step 5: Solve for x
    x = 8,575,787.51/3,487.80
  6. Step 6: Final answer
    x = 2,458.80

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1.5x scale

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.