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Finding the Fourth Proportional to 3,971.98, 5,957.29 and 1,050.58

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Solution

The fourth proportional to 3,971.98, 5,957.29 and 1,050.58 is: 1,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.98 : 5,957.29 = 1,050.58 : x
  2. Step 2: Convert to fraction form
    3,971.98/5,957.29 = 1,050.58/x
  3. Step 3: Cross multiply
    3,971.98x = 5,957.29 × 1,050.58
  4. Step 4: Simplify right side
    3,971.98x = 6,258,592.21
  5. Step 5: Solve for x
    x = 6,258,592.21/3,971.98
  6. Step 6: Final answer
    x = 1,575.69

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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.