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Finding the Fourth Proportional to 3,779.58, 5,669.48 and 1,006.55

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Solution

The fourth proportional to 3,779.58, 5,669.48 and 1,006.55 is: 1,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.58 : 5,669.48 = 1,006.55 : x
  2. Step 2: Convert to fraction form
    3,779.58/5,669.48 = 1,006.55/x
  3. Step 3: Cross multiply
    3,779.58x = 5,669.48 × 1,006.55
  4. Step 4: Simplify right side
    3,779.58x = 5,706,589.26
  5. Step 5: Solve for x
    x = 5,706,589.26/3,779.58
  6. Step 6: Final answer
    x = 1,509.85

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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.