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Finding the Fourth Proportional to 4,736.82, 7,106.13 and 2,139.75

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Solution

The fourth proportional to 4,736.82, 7,106.13 and 2,139.75 is: 3,210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.82 : 7,106.13 = 2,139.75 : x
  2. Step 2: Convert to fraction form
    4,736.82/7,106.13 = 2,139.75/x
  3. Step 3: Cross multiply
    4,736.82x = 7,106.13 × 2,139.75
  4. Step 4: Simplify right side
    4,736.82x = 15,205,341.67
  5. Step 5: Solve for x
    x = 15,205,341.67/4,736.82
  6. Step 6: Final answer
    x = 3,210.03

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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.