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Finding the Fourth Proportional to 4,754.46, 7,133.12 and 3,370.46

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Solution

The fourth proportional to 4,754.46, 7,133.12 and 3,370.46 is: 5,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.46 : 7,133.12 = 3,370.46 : x
  2. Step 2: Convert to fraction form
    4,754.46/7,133.12 = 3,370.46/x
  3. Step 3: Cross multiply
    4,754.46x = 7,133.12 × 3,370.46
  4. Step 4: Simplify right side
    4,754.46x = 24,041,895.64
  5. Step 5: Solve for x
    x = 24,041,895.64/4,754.46
  6. Step 6: Final answer
    x = 5,056.70

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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.