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Finding the Fourth Proportional to 4,770.94, 7,156.61 and 1,809.08

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Solution

The fourth proportional to 4,770.94, 7,156.61 and 1,809.08 is: 2,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.94 : 7,156.61 = 1,809.08 : x
  2. Step 2: Convert to fraction form
    4,770.94/7,156.61 = 1,809.08/x
  3. Step 3: Cross multiply
    4,770.94x = 7,156.61 × 1,809.08
  4. Step 4: Simplify right side
    4,770.94x = 12,946,880.02
  5. Step 5: Solve for x
    x = 12,946,880.02/4,770.94
  6. Step 6: Final answer
    x = 2,713.70

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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.