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Finding the Fourth Proportional to 3,806.51, 5,709.76 and 2,507.67

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Solution

The fourth proportional to 3,806.51, 5,709.76 and 2,507.67 is: 3,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.51 : 5,709.76 = 2,507.67 : x
  2. Step 2: Convert to fraction form
    3,806.51/5,709.76 = 2,507.67/x
  3. Step 3: Cross multiply
    3,806.51x = 5,709.76 × 2,507.67
  4. Step 4: Simplify right side
    3,806.51x = 14,318,187.59
  5. Step 5: Solve for x
    x = 14,318,187.59/3,806.51
  6. Step 6: Final answer
    x = 3,761.51

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1.5x scale

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.