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Finding the Fourth Proportional to 5,185.46, 7,779.31 and 1,675.69

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Solution

The fourth proportional to 5,185.46, 7,779.31 and 1,675.69 is: 2,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.46 : 7,779.31 = 1,675.69 : x
  2. Step 2: Convert to fraction form
    5,185.46/7,779.31 = 1,675.69/x
  3. Step 3: Cross multiply
    5,185.46x = 7,779.31 × 1,675.69
  4. Step 4: Simplify right side
    5,185.46x = 13,035,688.34
  5. Step 5: Solve for x
    x = 13,035,688.34/5,185.46
  6. Step 6: Final answer
    x = 2,513.89

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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.