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Finding the Fourth Proportional to 4,672.49, 6,446.45 and 2,681.64

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Solution

The fourth proportional to 4,672.49, 6,446.45 and 2,681.64 is: 3,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.49 : 6,446.45 = 2,681.64 : x
  2. Step 2: Convert to fraction form
    4,672.49/6,446.45 = 2,681.64/x
  3. Step 3: Cross multiply
    4,672.49x = 6,446.45 × 2,681.64
  4. Step 4: Simplify right side
    4,672.49x = 17,287,064.88
  5. Step 5: Solve for x
    x = 17,287,064.88/4,672.49
  6. Step 6: Final answer
    x = 3,699.76

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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.