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Finding the Fourth Proportional to 5,243.31, 7,865.78 and 1,779.75

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Solution

The fourth proportional to 5,243.31, 7,865.78 and 1,779.75 is: 2,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.31 : 7,865.78 = 1,779.75 : x
  2. Step 2: Convert to fraction form
    5,243.31/7,865.78 = 1,779.75/x
  3. Step 3: Cross multiply
    5,243.31x = 7,865.78 × 1,779.75
  4. Step 4: Simplify right side
    5,243.31x = 13,999,113.06
  5. Step 5: Solve for x
    x = 13,999,113.06/5,243.31
  6. Step 6: Final answer
    x = 2,669.90

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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.