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Finding the Fourth Proportional to 3,735.84, 5,603.46 and 962.61

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Solution

The fourth proportional to 3,735.84, 5,603.46 and 962.61 is: 1,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.84 : 5,603.46 = 962.61 : x
  2. Step 2: Convert to fraction form
    3,735.84/5,603.46 = 962.61/x
  3. Step 3: Cross multiply
    3,735.84x = 5,603.46 × 962.61
  4. Step 4: Simplify right side
    3,735.84x = 5,393,946.63
  5. Step 5: Solve for x
    x = 5,393,946.63/3,735.84
  6. Step 6: Final answer
    x = 1,443.84

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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.