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Finding the Fourth Proportional to 4,302.77, 6,453.14 and 1,529.33

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Solution

The fourth proportional to 4,302.77, 6,453.14 and 1,529.33 is: 2,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.77 : 6,453.14 = 1,529.33 : x
  2. Step 2: Convert to fraction form
    4,302.77/6,453.14 = 1,529.33/x
  3. Step 3: Cross multiply
    4,302.77x = 6,453.14 × 1,529.33
  4. Step 4: Simplify right side
    4,302.77x = 9,868,940.68
  5. Step 5: Solve for x
    x = 9,868,940.68/4,302.77
  6. Step 6: Final answer
    x = 2,293.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.