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Finding the Fourth Proportional to 3,810.76, 5,716.74 and 1,619.50

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Solution

The fourth proportional to 3,810.76, 5,716.74 and 1,619.50 is: 2,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.76 : 5,716.74 = 1,619.50 : x
  2. Step 2: Convert to fraction form
    3,810.76/5,716.74 = 1,619.50/x
  3. Step 3: Cross multiply
    3,810.76x = 5,716.74 × 1,619.50
  4. Step 4: Simplify right side
    3,810.76x = 9,258,260.43
  5. Step 5: Solve for x
    x = 9,258,260.43/3,810.76
  6. Step 6: Final answer
    x = 2,429.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.