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Finding the Fourth Proportional to 3,688.58, 5,533.01 and 1,223.61

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Solution

The fourth proportional to 3,688.58, 5,533.01 and 1,223.61 is: 1,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.58 : 5,533.01 = 1,223.61 : x
  2. Step 2: Convert to fraction form
    3,688.58/5,533.01 = 1,223.61/x
  3. Step 3: Cross multiply
    3,688.58x = 5,533.01 × 1,223.61
  4. Step 4: Simplify right side
    3,688.58x = 6,770,240.25
  5. Step 5: Solve for x
    x = 6,770,240.25/3,688.58
  6. Step 6: Final answer
    x = 1,835.46

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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.