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Finding the Fourth Proportional to 3,893.56, 5,829.90 and 2,429.80

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Solution

The fourth proportional to 3,893.56, 5,829.90 and 2,429.80 is: 3,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.56 : 5,829.90 = 2,429.80 : x
  2. Step 2: Convert to fraction form
    3,893.56/5,829.90 = 2,429.80/x
  3. Step 3: Cross multiply
    3,893.56x = 5,829.90 × 2,429.80
  4. Step 4: Simplify right side
    3,893.56x = 14,165,491.02
  5. Step 5: Solve for x
    x = 14,165,491.02/3,893.56
  6. Step 6: Final answer
    x = 3,638.18

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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.