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Finding the Fourth Proportional to 4,674.66, 7,013.07 and 1,754.34

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Solution

The fourth proportional to 4,674.66, 7,013.07 and 1,754.34 is: 2,631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.66 : 7,013.07 = 1,754.34 : x
  2. Step 2: Convert to fraction form
    4,674.66/7,013.07 = 1,754.34/x
  3. Step 3: Cross multiply
    4,674.66x = 7,013.07 × 1,754.34
  4. Step 4: Simplify right side
    4,674.66x = 12,303,309.22
  5. Step 5: Solve for x
    x = 12,303,309.22/4,674.66
  6. Step 6: Final answer
    x = 2,631.92

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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.