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Finding the Fourth Proportional to 3,885.40, 5,830.44 and 1,420.03

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Solution

The fourth proportional to 3,885.40, 5,830.44 and 1,420.03 is: 2,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.40 : 5,830.44 = 1,420.03 : x
  2. Step 2: Convert to fraction form
    3,885.40/5,830.44 = 1,420.03/x
  3. Step 3: Cross multiply
    3,885.40x = 5,830.44 × 1,420.03
  4. Step 4: Simplify right side
    3,885.40x = 8,279,399.71
  5. Step 5: Solve for x
    x = 8,279,399.71/3,885.40
  6. Step 6: Final answer
    x = 2,130.90

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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.