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Finding the Fourth Proportional to 4,642.56, 6,407.57 and 2,964.49

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Solution

The fourth proportional to 4,642.56, 6,407.57 and 2,964.49 is: 4,091.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.56 : 6,407.57 = 2,964.49 : x
  2. Step 2: Convert to fraction form
    4,642.56/6,407.57 = 2,964.49/x
  3. Step 3: Cross multiply
    4,642.56x = 6,407.57 × 2,964.49
  4. Step 4: Simplify right side
    4,642.56x = 18,995,168.58
  5. Step 5: Solve for x
    x = 18,995,168.58/4,642.56
  6. Step 6: Final answer
    x = 4,091.53

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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.