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Finding the Fourth Proportional to 4,184.45, 6,270 and 2,210

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Solution

The fourth proportional to 4,184.45, 6,270 and 2,210 is: 3,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.45 : 6,270 = 2,210 : x
  2. Step 2: Convert to fraction form
    4,184.45/6,270 = 2,210/x
  3. Step 3: Cross multiply
    4,184.45x = 6,270 × 2,210
  4. Step 4: Simplify right side
    4,184.45x = 13,856,700
  5. Step 5: Solve for x
    x = 13,856,700/4,184.45
  6. Step 6: Final answer
    x = 3,311.47

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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.