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Finding the Fourth Proportional to 5,185.48, 7,779.50 and 1,722.76

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Solution

The fourth proportional to 5,185.48, 7,779.50 and 1,722.76 is: 2,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.48 : 7,779.50 = 1,722.76 : x
  2. Step 2: Convert to fraction form
    5,185.48/7,779.50 = 1,722.76/x
  3. Step 3: Cross multiply
    5,185.48x = 7,779.50 × 1,722.76
  4. Step 4: Simplify right side
    5,185.48x = 13,402,211.42
  5. Step 5: Solve for x
    x = 13,402,211.42/5,185.48
  6. Step 6: Final answer
    x = 2,584.57

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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.