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Finding the Fourth Proportional to 3,259.90, 4,891.29 and 1,315.90

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Solution

The fourth proportional to 3,259.90, 4,891.29 and 1,315.90 is: 1,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.90 : 4,891.29 = 1,315.90 : x
  2. Step 2: Convert to fraction form
    3,259.90/4,891.29 = 1,315.90/x
  3. Step 3: Cross multiply
    3,259.90x = 4,891.29 × 1,315.90
  4. Step 4: Simplify right side
    3,259.90x = 6,436,448.51
  5. Step 5: Solve for x
    x = 6,436,448.51/3,259.90
  6. Step 6: Final answer
    x = 1,974.43

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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.