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Finding the Fourth Proportional to 3,852.30, 5,779.80 and 1,661.70

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Solution

The fourth proportional to 3,852.30, 5,779.80 and 1,661.70 is: 2,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.30 : 5,779.80 = 1,661.70 : x
  2. Step 2: Convert to fraction form
    3,852.30/5,779.80 = 1,661.70/x
  3. Step 3: Cross multiply
    3,852.30x = 5,779.80 × 1,661.70
  4. Step 4: Simplify right side
    3,852.30x = 9,604,293.66
  5. Step 5: Solve for x
    x = 9,604,293.66/3,852.30
  6. Step 6: Final answer
    x = 2,493.13

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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.