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Finding the Fourth Proportional to 3,982.08, 5,973.12 and 1,060.40

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Solution

The fourth proportional to 3,982.08, 5,973.12 and 1,060.40 is: 1,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.08 : 5,973.12 = 1,060.40 : x
  2. Step 2: Convert to fraction form
    3,982.08/5,973.12 = 1,060.40/x
  3. Step 3: Cross multiply
    3,982.08x = 5,973.12 × 1,060.40
  4. Step 4: Simplify right side
    3,982.08x = 6,333,866.58
  5. Step 5: Solve for x
    x = 6,333,866.58/3,982.08
  6. Step 6: Final answer
    x = 1,590.59

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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.