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Finding the Fourth Proportional to 4,706.52, 7,052.42 and 1,783.24

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Solution

The fourth proportional to 4,706.52, 7,052.42 and 1,783.24 is: 2,672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.52 : 7,052.42 = 1,783.24 : x
  2. Step 2: Convert to fraction form
    4,706.52/7,052.42 = 1,783.24/x
  3. Step 3: Cross multiply
    4,706.52x = 7,052.42 × 1,783.24
  4. Step 4: Simplify right side
    4,706.52x = 12,576,157.44
  5. Step 5: Solve for x
    x = 12,576,157.44/4,706.52
  6. Step 6: Final answer
    x = 2,672.07

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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.