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Finding the Fourth Proportional to 3,806.51, 5,710.44 and 1,342.76

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Solution

The fourth proportional to 3,806.51, 5,710.44 and 1,342.76 is: 2,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.51 : 5,710.44 = 1,342.76 : x
  2. Step 2: Convert to fraction form
    3,806.51/5,710.44 = 1,342.76/x
  3. Step 3: Cross multiply
    3,806.51x = 5,710.44 × 1,342.76
  4. Step 4: Simplify right side
    3,806.51x = 7,667,750.41
  5. Step 5: Solve for x
    x = 7,667,750.41/3,806.51
  6. Step 6: Final answer
    x = 2,014.38

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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.