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Finding the Fourth Proportional to 4,674.58, 7,012 and 2,210.56

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Solution

The fourth proportional to 4,674.58, 7,012 and 2,210.56 is: 3,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.58 : 7,012 = 2,210.56 : x
  2. Step 2: Convert to fraction form
    4,674.58/7,012 = 2,210.56/x
  3. Step 3: Cross multiply
    4,674.58x = 7,012 × 2,210.56
  4. Step 4: Simplify right side
    4,674.58x = 15,500,446.72
  5. Step 5: Solve for x
    x = 15,500,446.72/4,674.58
  6. Step 6: Final answer
    x = 3,315.90

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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.