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Finding the Fourth Proportional to 3,421.53, 5,130 and 2,764.22

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Solution

The fourth proportional to 3,421.53, 5,130 and 2,764.22 is: 4,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.53 : 5,130 = 2,764.22 : x
  2. Step 2: Convert to fraction form
    3,421.53/5,130 = 2,764.22/x
  3. Step 3: Cross multiply
    3,421.53x = 5,130 × 2,764.22
  4. Step 4: Simplify right side
    3,421.53x = 14,180,422.95
  5. Step 5: Solve for x
    x = 14,180,422.95/3,421.53
  6. Step 6: Final answer
    x = 4,144.47

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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.