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Finding the Fourth Proportional to 3,666.05, 5,499.08 and 892.72

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Solution

The fourth proportional to 3,666.05, 5,499.08 and 892.72 is: 1,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.05 : 5,499.08 = 892.72 : x
  2. Step 2: Convert to fraction form
    3,666.05/5,499.08 = 892.72/x
  3. Step 3: Cross multiply
    3,666.05x = 5,499.08 × 892.72
  4. Step 4: Simplify right side
    3,666.05x = 4,909,138.70
  5. Step 5: Solve for x
    x = 4,909,138.70/3,666.05
  6. Step 6: Final answer
    x = 1,339.08

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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.