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Finding the Fourth Proportional to 4,753.60, 7,128.32 and 1,829.84

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Solution

The fourth proportional to 4,753.60, 7,128.32 and 1,829.84 is: 2,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.60 : 7,128.32 = 1,829.84 : x
  2. Step 2: Convert to fraction form
    4,753.60/7,128.32 = 1,829.84/x
  3. Step 3: Cross multiply
    4,753.60x = 7,128.32 × 1,829.84
  4. Step 4: Simplify right side
    4,753.60x = 13,043,685.07
  5. Step 5: Solve for x
    x = 13,043,685.07/4,753.60
  6. Step 6: Final answer
    x = 2,743.96

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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.