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Finding the Fourth Proportional to 5,094.80, 7,638.08 and 1,806.10

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Solution

The fourth proportional to 5,094.80, 7,638.08 and 1,806.10 is: 2,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.80 : 7,638.08 = 1,806.10 : x
  2. Step 2: Convert to fraction form
    5,094.80/7,638.08 = 1,806.10/x
  3. Step 3: Cross multiply
    5,094.80x = 7,638.08 × 1,806.10
  4. Step 4: Simplify right side
    5,094.80x = 13,795,136.29
  5. Step 5: Solve for x
    x = 13,795,136.29/5,094.80
  6. Step 6: Final answer
    x = 2,707.69

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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.