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Finding the Fourth Proportional to 4,477, 6,178.17 and 2,487.50

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Solution

The fourth proportional to 4,477, 6,178.17 and 2,487.50 is: 3,432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477 : 6,178.17 = 2,487.50 : x
  2. Step 2: Convert to fraction form
    4,477/6,178.17 = 2,487.50/x
  3. Step 3: Cross multiply
    4,477x = 6,178.17 × 2,487.50
  4. Step 4: Simplify right side
    4,477x = 15,368,197.88
  5. Step 5: Solve for x
    x = 15,368,197.88/4,477
  6. Step 6: Final answer
    x = 3,432.70

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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.