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Finding the Fourth Proportional to 5,242.30, 7,863.45 and 1,779.58

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Solution

The fourth proportional to 5,242.30, 7,863.45 and 1,779.58 is: 2,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.30 : 7,863.45 = 1,779.58 : x
  2. Step 2: Convert to fraction form
    5,242.30/7,863.45 = 1,779.58/x
  3. Step 3: Cross multiply
    5,242.30x = 7,863.45 × 1,779.58
  4. Step 4: Simplify right side
    5,242.30x = 13,993,638.35
  5. Step 5: Solve for x
    x = 13,993,638.35/5,242.30
  6. Step 6: Final answer
    x = 2,669.37

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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.