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Finding the Fourth Proportional to 4,724.72, 7,085.36 and 1,604.24

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Solution

The fourth proportional to 4,724.72, 7,085.36 and 1,604.24 is: 2,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.72 : 7,085.36 = 1,604.24 : x
  2. Step 2: Convert to fraction form
    4,724.72/7,085.36 = 1,604.24/x
  3. Step 3: Cross multiply
    4,724.72x = 7,085.36 × 1,604.24
  4. Step 4: Simplify right side
    4,724.72x = 11,366,617.93
  5. Step 5: Solve for x
    x = 11,366,617.93/4,724.72
  6. Step 6: Final answer
    x = 2,405.78

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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.