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Finding the Fourth Proportional to 3,666.33, 5,498.16 and 1,325.78

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Solution

The fourth proportional to 3,666.33, 5,498.16 and 1,325.78 is: 1,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.33 : 5,498.16 = 1,325.78 : x
  2. Step 2: Convert to fraction form
    3,666.33/5,498.16 = 1,325.78/x
  3. Step 3: Cross multiply
    3,666.33x = 5,498.16 × 1,325.78
  4. Step 4: Simplify right side
    3,666.33x = 7,289,318.10
  5. Step 5: Solve for x
    x = 7,289,318.10/3,666.33
  6. Step 6: Final answer
    x = 1,988.18

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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.