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Finding the Fourth Proportional to 3,959.50, 5,464.20 and 2,564.68

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Solution

The fourth proportional to 3,959.50, 5,464.20 and 2,564.68 is: 3,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.50 : 5,464.20 = 2,564.68 : x
  2. Step 2: Convert to fraction form
    3,959.50/5,464.20 = 2,564.68/x
  3. Step 3: Cross multiply
    3,959.50x = 5,464.20 × 2,564.68
  4. Step 4: Simplify right side
    3,959.50x = 14,013,924.46
  5. Step 5: Solve for x
    x = 14,013,924.46/3,959.50
  6. Step 6: Final answer
    x = 3,539.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.