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Finding the Fourth Proportional to 3,779.55, 5,669.10 and 1,006.29

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Solution

The fourth proportional to 3,779.55, 5,669.10 and 1,006.29 is: 1,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.55 : 5,669.10 = 1,006.29 : x
  2. Step 2: Convert to fraction form
    3,779.55/5,669.10 = 1,006.29/x
  3. Step 3: Cross multiply
    3,779.55x = 5,669.10 × 1,006.29
  4. Step 4: Simplify right side
    3,779.55x = 5,704,758.64
  5. Step 5: Solve for x
    x = 5,704,758.64/3,779.55
  6. Step 6: Final answer
    x = 1,509.38

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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.