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Finding the Fourth Proportional to 4,002.76, 5,996.64 and 2,354.38

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Solution

The fourth proportional to 4,002.76, 5,996.64 and 2,354.38 is: 3,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.76 : 5,996.64 = 2,354.38 : x
  2. Step 2: Convert to fraction form
    4,002.76/5,996.64 = 2,354.38/x
  3. Step 3: Cross multiply
    4,002.76x = 5,996.64 × 2,354.38
  4. Step 4: Simplify right side
    4,002.76x = 14,118,369.28
  5. Step 5: Solve for x
    x = 14,118,369.28/4,002.76
  6. Step 6: Final answer
    x = 3,527.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.