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Finding the Fourth Proportional to 4,672.65, 6,448.34 and 2,548.19

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Solution

The fourth proportional to 4,672.65, 6,448.34 and 2,548.19 is: 3,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.65 : 6,448.34 = 2,548.19 : x
  2. Step 2: Convert to fraction form
    4,672.65/6,448.34 = 2,548.19/x
  3. Step 3: Cross multiply
    4,672.65x = 6,448.34 × 2,548.19
  4. Step 4: Simplify right side
    4,672.65x = 16,431,598.88
  5. Step 5: Solve for x
    x = 16,431,598.88/4,672.65
  6. Step 6: Final answer
    x = 3,516.55

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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.