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Finding the Fourth Proportional to 3,810.46, 5,716.78 and 1,503.58

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Solution

The fourth proportional to 3,810.46, 5,716.78 and 1,503.58 is: 2,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.46 : 5,716.78 = 1,503.58 : x
  2. Step 2: Convert to fraction form
    3,810.46/5,716.78 = 1,503.58/x
  3. Step 3: Cross multiply
    3,810.46x = 5,716.78 × 1,503.58
  4. Step 4: Simplify right side
    3,810.46x = 8,595,636.07
  5. Step 5: Solve for x
    x = 8,595,636.07/3,810.46
  6. Step 6: Final answer
    x = 2,255.80

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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.