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Finding the Fourth Proportional to 3,877.61, 5,820.53 and 3,191.45

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Solution

The fourth proportional to 3,877.61, 5,820.53 and 3,191.45 is: 4,790.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.61 : 5,820.53 = 3,191.45 : x
  2. Step 2: Convert to fraction form
    3,877.61/5,820.53 = 3,191.45/x
  3. Step 3: Cross multiply
    3,877.61x = 5,820.53 × 3,191.45
  4. Step 4: Simplify right side
    3,877.61x = 18,575,885.41
  5. Step 5: Solve for x
    x = 18,575,885.41/3,877.61
  6. Step 6: Final answer
    x = 4,790.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.