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Finding the Fourth Proportional to 4,600.13, 6,890.94 and 3,491.51

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Solution

The fourth proportional to 4,600.13, 6,890.94 and 3,491.51 is: 5,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.13 : 6,890.94 = 3,491.51 : x
  2. Step 2: Convert to fraction form
    4,600.13/6,890.94 = 3,491.51/x
  3. Step 3: Cross multiply
    4,600.13x = 6,890.94 × 3,491.51
  4. Step 4: Simplify right side
    4,600.13x = 24,059,751.46
  5. Step 5: Solve for x
    x = 24,059,751.46/4,600.13
  6. Step 6: Final answer
    x = 5,230.24

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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.