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Finding the Fourth Proportional to 3,662.96, 5,495.37 and 1,065.89

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Solution

The fourth proportional to 3,662.96, 5,495.37 and 1,065.89 is: 1,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.96 : 5,495.37 = 1,065.89 : x
  2. Step 2: Convert to fraction form
    3,662.96/5,495.37 = 1,065.89/x
  3. Step 3: Cross multiply
    3,662.96x = 5,495.37 × 1,065.89
  4. Step 4: Simplify right side
    3,662.96x = 5,857,432.45
  5. Step 5: Solve for x
    x = 5,857,432.45/3,662.96
  6. Step 6: Final answer
    x = 1,599.10

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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.