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Finding the Fourth Proportional to 3,297.72, 4,543.29 and 2,712

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Solution

The fourth proportional to 3,297.72, 4,543.29 and 2,712 is: 3,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.72 : 4,543.29 = 2,712 : x
  2. Step 2: Convert to fraction form
    3,297.72/4,543.29 = 2,712/x
  3. Step 3: Cross multiply
    3,297.72x = 4,543.29 × 2,712
  4. Step 4: Simplify right side
    3,297.72x = 12,321,402.48
  5. Step 5: Solve for x
    x = 12,321,402.48/3,297.72
  6. Step 6: Final answer
    x = 3,736.34

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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.