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Finding the Fourth Proportional to 3,664.30, 5,484.30 and 2,570.80

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Solution

The fourth proportional to 3,664.30, 5,484.30 and 2,570.80 is: 3,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.30 : 5,484.30 = 2,570.80 : x
  2. Step 2: Convert to fraction form
    3,664.30/5,484.30 = 2,570.80/x
  3. Step 3: Cross multiply
    3,664.30x = 5,484.30 × 2,570.80
  4. Step 4: Simplify right side
    3,664.30x = 14,099,038.44
  5. Step 5: Solve for x
    x = 14,099,038.44/3,664.30
  6. Step 6: Final answer
    x = 3,847.68

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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.