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Finding the Fourth Proportional to 3,851.85, 5,776.50 and 1,254.18

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Solution

The fourth proportional to 3,851.85, 5,776.50 and 1,254.18 is: 1,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.85 : 5,776.50 = 1,254.18 : x
  2. Step 2: Convert to fraction form
    3,851.85/5,776.50 = 1,254.18/x
  3. Step 3: Cross multiply
    3,851.85x = 5,776.50 × 1,254.18
  4. Step 4: Simplify right side
    3,851.85x = 7,244,770.77
  5. Step 5: Solve for x
    x = 7,244,770.77/3,851.85
  6. Step 6: Final answer
    x = 1,880.85

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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.