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Finding the Fourth Proportional to 3,774.55, 5,208.93 and 2,096.06

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Solution

The fourth proportional to 3,774.55, 5,208.93 and 2,096.06 is: 2,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.55 : 5,208.93 = 2,096.06 : x
  2. Step 2: Convert to fraction form
    3,774.55/5,208.93 = 2,096.06/x
  3. Step 3: Cross multiply
    3,774.55x = 5,208.93 × 2,096.06
  4. Step 4: Simplify right side
    3,774.55x = 10,918,237.60
  5. Step 5: Solve for x
    x = 10,918,237.60/3,774.55
  6. Step 6: Final answer
    x = 2,892.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.