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Finding the Fourth Proportional to 3,563.90, 5,346.59 and 1,223.81

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Solution

The fourth proportional to 3,563.90, 5,346.59 and 1,223.81 is: 1,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.90 : 5,346.59 = 1,223.81 : x
  2. Step 2: Convert to fraction form
    3,563.90/5,346.59 = 1,223.81/x
  3. Step 3: Cross multiply
    3,563.90x = 5,346.59 × 1,223.81
  4. Step 4: Simplify right side
    3,563.90x = 6,543,177.46
  5. Step 5: Solve for x
    x = 6,543,177.46/3,563.90
  6. Step 6: Final answer
    x = 1,835.96

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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.