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Finding the Fourth Proportional to 3,467, 4,784.46 and 2,225

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Solution

The fourth proportional to 3,467, 4,784.46 and 2,225 is: 3,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467 : 4,784.46 = 2,225 : x
  2. Step 2: Convert to fraction form
    3,467/4,784.46 = 2,225/x
  3. Step 3: Cross multiply
    3,467x = 4,784.46 × 2,225
  4. Step 4: Simplify right side
    3,467x = 10,645,423.50
  5. Step 5: Solve for x
    x = 10,645,423.50/3,467
  6. Step 6: Final answer
    x = 3,070.50

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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.