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Finding the Fourth Proportional to 5,161.19, 7,742.30 and 1,874.54

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Solution

The fourth proportional to 5,161.19, 7,742.30 and 1,874.54 is: 2,812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.19 : 7,742.30 = 1,874.54 : x
  2. Step 2: Convert to fraction form
    5,161.19/7,742.30 = 1,874.54/x
  3. Step 3: Cross multiply
    5,161.19x = 7,742.30 × 1,874.54
  4. Step 4: Simplify right side
    5,161.19x = 14,513,251.04
  5. Step 5: Solve for x
    x = 14,513,251.04/5,161.19
  6. Step 6: Final answer
    x = 2,812.00

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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.