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Finding the Fourth Proportional to 3,779.04, 5,668.71 and 1,182

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Solution

The fourth proportional to 3,779.04, 5,668.71 and 1,182 is: 1,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.04 : 5,668.71 = 1,182 : x
  2. Step 2: Convert to fraction form
    3,779.04/5,668.71 = 1,182/x
  3. Step 3: Cross multiply
    3,779.04x = 5,668.71 × 1,182
  4. Step 4: Simplify right side
    3,779.04x = 6,700,415.22
  5. Step 5: Solve for x
    x = 6,700,415.22/3,779.04
  6. Step 6: Final answer
    x = 1,773.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.