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Finding the Fourth Proportional to 6,431.67, 8,876.40 and 3,779.46

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Solution

The fourth proportional to 6,431.67, 8,876.40 and 3,779.46 is: 5,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.67 : 8,876.40 = 3,779.46 : x
  2. Step 2: Convert to fraction form
    6,431.67/8,876.40 = 3,779.46/x
  3. Step 3: Cross multiply
    6,431.67x = 8,876.40 × 3,779.46
  4. Step 4: Simplify right side
    6,431.67x = 33,547,998.74
  5. Step 5: Solve for x
    x = 33,547,998.74/6,431.67
  6. Step 6: Final answer
    x = 5,216.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.