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Finding the Fourth Proportional to 4,899.09, 7,348.74 and 1,436.34

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Solution

The fourth proportional to 4,899.09, 7,348.74 and 1,436.34 is: 2,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.09 : 7,348.74 = 1,436.34 : x
  2. Step 2: Convert to fraction form
    4,899.09/7,348.74 = 1,436.34/x
  3. Step 3: Cross multiply
    4,899.09x = 7,348.74 × 1,436.34
  4. Step 4: Simplify right side
    4,899.09x = 10,555,289.21
  5. Step 5: Solve for x
    x = 10,555,289.21/4,899.09
  6. Step 6: Final answer
    x = 2,154.54

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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.