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Finding the Fourth Proportional to 3,747.60, 5,623.02 and 1,800.36

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Solution

The fourth proportional to 3,747.60, 5,623.02 and 1,800.36 is: 2,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.60 : 5,623.02 = 1,800.36 : x
  2. Step 2: Convert to fraction form
    3,747.60/5,623.02 = 1,800.36/x
  3. Step 3: Cross multiply
    3,747.60x = 5,623.02 × 1,800.36
  4. Step 4: Simplify right side
    3,747.60x = 10,123,460.29
  5. Step 5: Solve for x
    x = 10,123,460.29/3,747.60
  6. Step 6: Final answer
    x = 2,701.32

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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.