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Finding the Fourth Proportional to 3,779.77, 5,668.54 and 1,314.13

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Solution

The fourth proportional to 3,779.77, 5,668.54 and 1,314.13 is: 1,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.77 : 5,668.54 = 1,314.13 : x
  2. Step 2: Convert to fraction form
    3,779.77/5,668.54 = 1,314.13/x
  3. Step 3: Cross multiply
    3,779.77x = 5,668.54 × 1,314.13
  4. Step 4: Simplify right side
    3,779.77x = 7,449,198.47
  5. Step 5: Solve for x
    x = 7,449,198.47/3,779.77
  6. Step 6: Final answer
    x = 1,970.81

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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.