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Finding the Fourth Proportional to 3,421.56, 4,722.36 and 3,265.74

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Solution

The fourth proportional to 3,421.56, 4,722.36 and 3,265.74 is: 4,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.56 : 4,722.36 = 3,265.74 : x
  2. Step 2: Convert to fraction form
    3,421.56/4,722.36 = 3,265.74/x
  3. Step 3: Cross multiply
    3,421.56x = 4,722.36 × 3,265.74
  4. Step 4: Simplify right side
    3,421.56x = 15,421,999.95
  5. Step 5: Solve for x
    x = 15,421,999.95/3,421.56
  6. Step 6: Final answer
    x = 4,507.30

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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.