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Finding the Fourth Proportional to 3,885.30, 5,827.41 and 1,420.02

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Solution

The fourth proportional to 3,885.30, 5,827.41 and 1,420.02 is: 2,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.30 : 5,827.41 = 1,420.02 : x
  2. Step 2: Convert to fraction form
    3,885.30/5,827.41 = 1,420.02/x
  3. Step 3: Cross multiply
    3,885.30x = 5,827.41 × 1,420.02
  4. Step 4: Simplify right side
    3,885.30x = 8,275,038.75
  5. Step 5: Solve for x
    x = 8,275,038.75/3,885.30
  6. Step 6: Final answer
    x = 2,129.83

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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.