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Finding the Fourth Proportional to 3,779.68, 5,670.60 and 1,182.64

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Solution

The fourth proportional to 3,779.68, 5,670.60 and 1,182.64 is: 1,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.68 : 5,670.60 = 1,182.64 : x
  2. Step 2: Convert to fraction form
    3,779.68/5,670.60 = 1,182.64/x
  3. Step 3: Cross multiply
    3,779.68x = 5,670.60 × 1,182.64
  4. Step 4: Simplify right side
    3,779.68x = 6,706,278.38
  5. Step 5: Solve for x
    x = 6,706,278.38/3,779.68
  6. Step 6: Final answer
    x = 1,774.30

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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.