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Finding the Fourth Proportional to 3,285.61, 4,532.69 and 2,223

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Solution

The fourth proportional to 3,285.61, 4,532.69 and 2,223 is: 3,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.61 : 4,532.69 = 2,223 : x
  2. Step 2: Convert to fraction form
    3,285.61/4,532.69 = 2,223/x
  3. Step 3: Cross multiply
    3,285.61x = 4,532.69 × 2,223
  4. Step 4: Simplify right side
    3,285.61x = 10,076,169.87
  5. Step 5: Solve for x
    x = 10,076,169.87/3,285.61
  6. Step 6: Final answer
    x = 3,066.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.