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Finding the Fourth Proportional to 3,851.19, 5,778 and 1,219.11

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Solution

The fourth proportional to 3,851.19, 5,778 and 1,219.11 is: 1,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.19 : 5,778 = 1,219.11 : x
  2. Step 2: Convert to fraction form
    3,851.19/5,778 = 1,219.11/x
  3. Step 3: Cross multiply
    3,851.19x = 5,778 × 1,219.11
  4. Step 4: Simplify right side
    3,851.19x = 7,044,017.58
  5. Step 5: Solve for x
    x = 7,044,017.58/3,851.19
  6. Step 6: Final answer
    x = 1,829.05

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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.