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Finding the Fourth Proportional to 5,269.40, 7,903.02 and 1,982.60

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Solution

The fourth proportional to 5,269.40, 7,903.02 and 1,982.60 is: 2,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.40 : 7,903.02 = 1,982.60 : x
  2. Step 2: Convert to fraction form
    5,269.40/7,903.02 = 1,982.60/x
  3. Step 3: Cross multiply
    5,269.40x = 7,903.02 × 1,982.60
  4. Step 4: Simplify right side
    5,269.40x = 15,668,527.45
  5. Step 5: Solve for x
    x = 15,668,527.45/5,269.40
  6. Step 6: Final answer
    x = 2,973.49

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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.