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Finding the Fourth Proportional to 5,272.50, 7,276.17 and 3,412.74

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Solution

The fourth proportional to 5,272.50, 7,276.17 and 3,412.74 is: 4,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.50 : 7,276.17 = 3,412.74 : x
  2. Step 2: Convert to fraction form
    5,272.50/7,276.17 = 3,412.74/x
  3. Step 3: Cross multiply
    5,272.50x = 7,276.17 × 3,412.74
  4. Step 4: Simplify right side
    5,272.50x = 24,831,676.41
  5. Step 5: Solve for x
    x = 24,831,676.41/5,272.50
  6. Step 6: Final answer
    x = 4,709.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.