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Finding the Fourth Proportional to 4,900.47, 7,351.53 and 1,614.51

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Solution

The fourth proportional to 4,900.47, 7,351.53 and 1,614.51 is: 2,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.47 : 7,351.53 = 1,614.51 : x
  2. Step 2: Convert to fraction form
    4,900.47/7,351.53 = 1,614.51/x
  3. Step 3: Cross multiply
    4,900.47x = 7,351.53 × 1,614.51
  4. Step 4: Simplify right side
    4,900.47x = 11,869,118.70
  5. Step 5: Solve for x
    x = 11,869,118.70/4,900.47
  6. Step 6: Final answer
    x = 2,422.04

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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.