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Finding the Fourth Proportional to 3,784.02, 5,676.03 and 1,593.06

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Solution

The fourth proportional to 3,784.02, 5,676.03 and 1,593.06 is: 2,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.02 : 5,676.03 = 1,593.06 : x
  2. Step 2: Convert to fraction form
    3,784.02/5,676.03 = 1,593.06/x
  3. Step 3: Cross multiply
    3,784.02x = 5,676.03 × 1,593.06
  4. Step 4: Simplify right side
    3,784.02x = 9,042,256.35
  5. Step 5: Solve for x
    x = 9,042,256.35/3,784.02
  6. Step 6: Final answer
    x = 2,389.59

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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.