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Finding the Fourth Proportional to 5,341.76, 7,372.64 and 3,217.44

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Solution

The fourth proportional to 5,341.76, 7,372.64 and 3,217.44 is: 4,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.76 : 7,372.64 = 3,217.44 : x
  2. Step 2: Convert to fraction form
    5,341.76/7,372.64 = 3,217.44/x
  3. Step 3: Cross multiply
    5,341.76x = 7,372.64 × 3,217.44
  4. Step 4: Simplify right side
    5,341.76x = 23,721,026.84
  5. Step 5: Solve for x
    x = 23,721,026.84/5,341.76
  6. Step 6: Final answer
    x = 4,440.68

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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.