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Finding the Fourth Proportional to 3,596.40, 4,962.84 and 2,023.92

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Solution

The fourth proportional to 3,596.40, 4,962.84 and 2,023.92 is: 2,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.40 : 4,962.84 = 2,023.92 : x
  2. Step 2: Convert to fraction form
    3,596.40/4,962.84 = 2,023.92/x
  3. Step 3: Cross multiply
    3,596.40x = 4,962.84 × 2,023.92
  4. Step 4: Simplify right side
    3,596.40x = 10,044,391.13
  5. Step 5: Solve for x
    x = 10,044,391.13/3,596.40
  6. Step 6: Final answer
    x = 2,792.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.