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Finding the Fourth Proportional to 3,688.80, 5,532.59 and 1,223.87

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Solution

The fourth proportional to 3,688.80, 5,532.59 and 1,223.87 is: 1,835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.80 : 5,532.59 = 1,223.87 : x
  2. Step 2: Convert to fraction form
    3,688.80/5,532.59 = 1,223.87/x
  3. Step 3: Cross multiply
    3,688.80x = 5,532.59 × 1,223.87
  4. Step 4: Simplify right side
    3,688.80x = 6,771,187.81
  5. Step 5: Solve for x
    x = 6,771,187.81/3,688.80
  6. Step 6: Final answer
    x = 1,835.61

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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.