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Finding the Fourth Proportional to 3,851.68, 5,779.32 and 1,219.59

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Solution

The fourth proportional to 3,851.68, 5,779.32 and 1,219.59 is: 1,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.68 : 5,779.32 = 1,219.59 : x
  2. Step 2: Convert to fraction form
    3,851.68/5,779.32 = 1,219.59/x
  3. Step 3: Cross multiply
    3,851.68x = 5,779.32 × 1,219.59
  4. Step 4: Simplify right side
    3,851.68x = 7,048,423.26
  5. Step 5: Solve for x
    x = 7,048,423.26/3,851.68
  6. Step 6: Final answer
    x = 1,829.96

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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.