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Finding the Fourth Proportional to 3,779.86, 5,668.53 and 1,588.18

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Solution

The fourth proportional to 3,779.86, 5,668.53 and 1,588.18 is: 2,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.86 : 5,668.53 = 1,588.18 : x
  2. Step 2: Convert to fraction form
    3,779.86/5,668.53 = 1,588.18/x
  3. Step 3: Cross multiply
    3,779.86x = 5,668.53 × 1,588.18
  4. Step 4: Simplify right side
    3,779.86x = 9,002,645.98
  5. Step 5: Solve for x
    x = 9,002,645.98/3,779.86
  6. Step 6: Final answer
    x = 2,381.74

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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.