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Finding the Fourth Proportional to 3,771.32, 5,197.02 and 2,774.88

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Solution

The fourth proportional to 3,771.32, 5,197.02 and 2,774.88 is: 3,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.32 : 5,197.02 = 2,774.88 : x
  2. Step 2: Convert to fraction form
    3,771.32/5,197.02 = 2,774.88/x
  3. Step 3: Cross multiply
    3,771.32x = 5,197.02 × 2,774.88
  4. Step 4: Simplify right side
    3,771.32x = 14,421,106.86
  5. Step 5: Solve for x
    x = 14,421,106.86/3,771.32
  6. Step 6: Final answer
    x = 3,823.89

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