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Finding the Fourth Proportional to 4,711.50, 6,503.30 and 2,723.46

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Solution

The fourth proportional to 4,711.50, 6,503.30 and 2,723.46 is: 3,759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.50 : 6,503.30 = 2,723.46 : x
  2. Step 2: Convert to fraction form
    4,711.50/6,503.30 = 2,723.46/x
  3. Step 3: Cross multiply
    4,711.50x = 6,503.30 × 2,723.46
  4. Step 4: Simplify right side
    4,711.50x = 17,711,477.42
  5. Step 5: Solve for x
    x = 17,711,477.42/4,711.50
  6. Step 6: Final answer
    x = 3,759.20

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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.