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Finding the Fourth Proportional to 3,854.36, 5,779.33 and 1,185.25

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Solution

The fourth proportional to 3,854.36, 5,779.33 and 1,185.25 is: 1,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.36 : 5,779.33 = 1,185.25 : x
  2. Step 2: Convert to fraction form
    3,854.36/5,779.33 = 1,185.25/x
  3. Step 3: Cross multiply
    3,854.36x = 5,779.33 × 1,185.25
  4. Step 4: Simplify right side
    3,854.36x = 6,849,962.37
  5. Step 5: Solve for x
    x = 6,849,962.37/3,854.36
  6. Step 6: Final answer
    x = 1,777.20

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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.