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Finding the Fourth Proportional to 5,185.46, 7,774.52 and 2,409.18

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Solution

The fourth proportional to 5,185.46, 7,774.52 and 2,409.18 is: 3,612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.46 : 7,774.52 = 2,409.18 : x
  2. Step 2: Convert to fraction form
    5,185.46/7,774.52 = 2,409.18/x
  3. Step 3: Cross multiply
    5,185.46x = 7,774.52 × 2,409.18
  4. Step 4: Simplify right side
    5,185.46x = 18,730,218.09
  5. Step 5: Solve for x
    x = 18,730,218.09/5,185.46
  6. Step 6: Final answer
    x = 3,612.06

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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.