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Finding the Fourth Proportional to 3,706.35, 5,532.47 and 3,239.25

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Solution

The fourth proportional to 3,706.35, 5,532.47 and 3,239.25 is: 4,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.35 : 5,532.47 = 3,239.25 : x
  2. Step 2: Convert to fraction form
    3,706.35/5,532.47 = 3,239.25/x
  3. Step 3: Cross multiply
    3,706.35x = 5,532.47 × 3,239.25
  4. Step 4: Simplify right side
    3,706.35x = 17,921,037.25
  5. Step 5: Solve for x
    x = 17,921,037.25/3,706.35
  6. Step 6: Final answer
    x = 4,835.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.