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Finding the Fourth Proportional to 4,814.63, 6,644.18 and 2,606.63

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Solution

The fourth proportional to 4,814.63, 6,644.18 and 2,606.63 is: 3,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.63 : 6,644.18 = 2,606.63 : x
  2. Step 2: Convert to fraction form
    4,814.63/6,644.18 = 2,606.63/x
  3. Step 3: Cross multiply
    4,814.63x = 6,644.18 × 2,606.63
  4. Step 4: Simplify right side
    4,814.63x = 17,318,892.21
  5. Step 5: Solve for x
    x = 17,318,892.21/4,814.63
  6. Step 6: Final answer
    x = 3,597.14

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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.