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Finding the Fourth Proportional to 5,089.60, 7,634.40 and 1,806.40

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Solution

The fourth proportional to 5,089.60, 7,634.40 and 1,806.40 is: 2,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.60 : 7,634.40 = 1,806.40 : x
  2. Step 2: Convert to fraction form
    5,089.60/7,634.40 = 1,806.40/x
  3. Step 3: Cross multiply
    5,089.60x = 7,634.40 × 1,806.40
  4. Step 4: Simplify right side
    5,089.60x = 13,790,780.16
  5. Step 5: Solve for x
    x = 13,790,780.16/5,089.60
  6. Step 6: Final answer
    x = 2,709.60

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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.