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Finding the Fourth Proportional to 3,421.76, 4,731.68 and 3,266.88

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Solution

The fourth proportional to 3,421.76, 4,731.68 and 3,266.88 is: 4,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.76 : 4,731.68 = 3,266.88 : x
  2. Step 2: Convert to fraction form
    3,421.76/4,731.68 = 3,266.88/x
  3. Step 3: Cross multiply
    3,421.76x = 4,731.68 × 3,266.88
  4. Step 4: Simplify right side
    3,421.76x = 15,457,830.76
  5. Step 5: Solve for x
    x = 15,457,830.76/3,421.76
  6. Step 6: Final answer
    x = 4,517.51

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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.