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Finding the Fourth Proportional to 5,106.65, 7,654.50 and 2,638.98

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Solution

The fourth proportional to 5,106.65, 7,654.50 and 2,638.98 is: 3,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.65 : 7,654.50 = 2,638.98 : x
  2. Step 2: Convert to fraction form
    5,106.65/7,654.50 = 2,638.98/x
  3. Step 3: Cross multiply
    5,106.65x = 7,654.50 × 2,638.98
  4. Step 4: Simplify right side
    5,106.65x = 20,200,072.41
  5. Step 5: Solve for x
    x = 20,200,072.41/5,106.65
  6. Step 6: Final answer
    x = 3,955.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.