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Finding the Fourth Proportional to 3,779.52, 5,669.52 and 1,182.24

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Solution

The fourth proportional to 3,779.52, 5,669.52 and 1,182.24 is: 1,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.52 : 5,669.52 = 1,182.24 : x
  2. Step 2: Convert to fraction form
    3,779.52/5,669.52 = 1,182.24/x
  3. Step 3: Cross multiply
    3,779.52x = 5,669.52 × 1,182.24
  4. Step 4: Simplify right side
    3,779.52x = 6,702,733.32
  5. Step 5: Solve for x
    x = 6,702,733.32/3,779.52
  6. Step 6: Final answer
    x = 1,773.44

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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.