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Finding the Fourth Proportional to 3,973.54, 5,959.82 and 1,052.08

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Solution

The fourth proportional to 3,973.54, 5,959.82 and 1,052.08 is: 1,577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.54 : 5,959.82 = 1,052.08 : x
  2. Step 2: Convert to fraction form
    3,973.54/5,959.82 = 1,052.08/x
  3. Step 3: Cross multiply
    3,973.54x = 5,959.82 × 1,052.08
  4. Step 4: Simplify right side
    3,973.54x = 6,270,207.43
  5. Step 5: Solve for x
    x = 6,270,207.43/3,973.54
  6. Step 6: Final answer
    x = 1,577.99

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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.