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Finding the Fourth Proportional to 3,654.96, 5,038.11 and 3,212.10

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Solution

The fourth proportional to 3,654.96, 5,038.11 and 3,212.10 is: 4,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.96 : 5,038.11 = 3,212.10 : x
  2. Step 2: Convert to fraction form
    3,654.96/5,038.11 = 3,212.10/x
  3. Step 3: Cross multiply
    3,654.96x = 5,038.11 × 3,212.10
  4. Step 4: Simplify right side
    3,654.96x = 16,182,913.13
  5. Step 5: Solve for x
    x = 16,182,913.13/3,654.96
  6. Step 6: Final answer
    x = 4,427.66

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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.