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Finding the Fourth Proportional to 3,564.09, 5,346.42 and 1,223.15

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Solution

The fourth proportional to 3,564.09, 5,346.42 and 1,223.15 is: 1,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.09 : 5,346.42 = 1,223.15 : x
  2. Step 2: Convert to fraction form
    3,564.09/5,346.42 = 1,223.15/x
  3. Step 3: Cross multiply
    3,564.09x = 5,346.42 × 1,223.15
  4. Step 4: Simplify right side
    3,564.09x = 6,539,486.99
  5. Step 5: Solve for x
    x = 6,539,486.99/3,564.09
  6. Step 6: Final answer
    x = 1,834.83

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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.