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Finding the Fourth Proportional to 4,996.64, 6,896 and 3,006.24

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Solution

The fourth proportional to 4,996.64, 6,896 and 3,006.24 is: 4,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.64 : 6,896 = 3,006.24 : x
  2. Step 2: Convert to fraction form
    4,996.64/6,896 = 3,006.24/x
  3. Step 3: Cross multiply
    4,996.64x = 6,896 × 3,006.24
  4. Step 4: Simplify right side
    4,996.64x = 20,731,031.04
  5. Step 5: Solve for x
    x = 20,731,031.04/4,996.64
  6. Step 6: Final answer
    x = 4,148.99

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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.