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Finding the Fourth Proportional to 4,900.77, 7,351.29 and 1,614.08

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Solution

The fourth proportional to 4,900.77, 7,351.29 and 1,614.08 is: 2,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.77 : 7,351.29 = 1,614.08 : x
  2. Step 2: Convert to fraction form
    4,900.77/7,351.29 = 1,614.08/x
  3. Step 3: Cross multiply
    4,900.77x = 7,351.29 × 1,614.08
  4. Step 4: Simplify right side
    4,900.77x = 11,865,588.54
  5. Step 5: Solve for x
    x = 11,865,588.54/4,900.77
  6. Step 6: Final answer
    x = 2,421.17

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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.