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Finding the Fourth Proportional to 3,729.84, 5,589.72 and 1,420.08

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Solution

The fourth proportional to 3,729.84, 5,589.72 and 1,420.08 is: 2,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.84 : 5,589.72 = 1,420.08 : x
  2. Step 2: Convert to fraction form
    3,729.84/5,589.72 = 1,420.08/x
  3. Step 3: Cross multiply
    3,729.84x = 5,589.72 × 1,420.08
  4. Step 4: Simplify right side
    3,729.84x = 7,937,849.58
  5. Step 5: Solve for x
    x = 7,937,849.58/3,729.84
  6. Step 6: Final answer
    x = 2,128.20

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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.