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Finding the Fourth Proportional to 4,912.10, 7,366.80 and 1,990.70

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Solution

The fourth proportional to 4,912.10, 7,366.80 and 1,990.70 is: 2,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.10 : 7,366.80 = 1,990.70 : x
  2. Step 2: Convert to fraction form
    4,912.10/7,366.80 = 1,990.70/x
  3. Step 3: Cross multiply
    4,912.10x = 7,366.80 × 1,990.70
  4. Step 4: Simplify right side
    4,912.10x = 14,665,088.76
  5. Step 5: Solve for x
    x = 14,665,088.76/4,912.10
  6. Step 6: Final answer
    x = 2,985.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.