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Finding the Fourth Proportional to 3,967.29, 5,462.40 and 3,368.54

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Solution

The fourth proportional to 3,967.29, 5,462.40 and 3,368.54 is: 4,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.29 : 5,462.40 = 3,368.54 : x
  2. Step 2: Convert to fraction form
    3,967.29/5,462.40 = 3,368.54/x
  3. Step 3: Cross multiply
    3,967.29x = 5,462.40 × 3,368.54
  4. Step 4: Simplify right side
    3,967.29x = 18,400,294.25
  5. Step 5: Solve for x
    x = 18,400,294.25/3,967.29
  6. Step 6: Final answer
    x = 4,638.00

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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.