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Finding the Fourth Proportional to 4,599.87, 6,902.54 and 2,409.23

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Solution

The fourth proportional to 4,599.87, 6,902.54 and 2,409.23 is: 3,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.87 : 6,902.54 = 2,409.23 : x
  2. Step 2: Convert to fraction form
    4,599.87/6,902.54 = 2,409.23/x
  3. Step 3: Cross multiply
    4,599.87x = 6,902.54 × 2,409.23
  4. Step 4: Simplify right side
    4,599.87x = 16,629,759.89
  5. Step 5: Solve for x
    x = 16,629,759.89/4,599.87
  6. Step 6: Final answer
    x = 3,615.27

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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.