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Finding the Fourth Proportional to 3,271.36, 4,905.52 and 1,421.53

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Solution

The fourth proportional to 3,271.36, 4,905.52 and 1,421.53 is: 2,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.36 : 4,905.52 = 1,421.53 : x
  2. Step 2: Convert to fraction form
    3,271.36/4,905.52 = 1,421.53/x
  3. Step 3: Cross multiply
    3,271.36x = 4,905.52 × 1,421.53
  4. Step 4: Simplify right side
    3,271.36x = 6,973,343.85
  5. Step 5: Solve for x
    x = 6,973,343.85/3,271.36
  6. Step 6: Final answer
    x = 2,131.63

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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.