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Finding the Fourth Proportional to 3,779.48, 5,668.14 and 1,588.20

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Solution

The fourth proportional to 3,779.48, 5,668.14 and 1,588.20 is: 2,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.48 : 5,668.14 = 1,588.20 : x
  2. Step 2: Convert to fraction form
    3,779.48/5,668.14 = 1,588.20/x
  3. Step 3: Cross multiply
    3,779.48x = 5,668.14 × 1,588.20
  4. Step 4: Simplify right side
    3,779.48x = 9,002,139.95
  5. Step 5: Solve for x
    x = 9,002,139.95/3,779.48
  6. Step 6: Final answer
    x = 2,381.85

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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.