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Finding the Fourth Proportional to 3,688.66, 5,532.94 and 1,496.86

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Solution

The fourth proportional to 3,688.66, 5,532.94 and 1,496.86 is: 2,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.66 : 5,532.94 = 1,496.86 : x
  2. Step 2: Convert to fraction form
    3,688.66/5,532.94 = 1,496.86/x
  3. Step 3: Cross multiply
    3,688.66x = 5,532.94 × 1,496.86
  4. Step 4: Simplify right side
    3,688.66x = 8,282,036.57
  5. Step 5: Solve for x
    x = 8,282,036.57/3,688.66
  6. Step 6: Final answer
    x = 2,245.27

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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.