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Finding the Fourth Proportional to 3,652.71, 5,480.01 and 2,094.48

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Solution

The fourth proportional to 3,652.71, 5,480.01 and 2,094.48 is: 3,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.71 : 5,480.01 = 2,094.48 : x
  2. Step 2: Convert to fraction form
    3,652.71/5,480.01 = 2,094.48/x
  3. Step 3: Cross multiply
    3,652.71x = 5,480.01 × 2,094.48
  4. Step 4: Simplify right side
    3,652.71x = 11,477,771.34
  5. Step 5: Solve for x
    x = 11,477,771.34/3,652.71
  6. Step 6: Final answer
    x = 3,142.26

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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.