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Finding the Fourth Proportional to 3,967.72, 5,951.86 and 1,046

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Solution

The fourth proportional to 3,967.72, 5,951.86 and 1,046 is: 1,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.72 : 5,951.86 = 1,046 : x
  2. Step 2: Convert to fraction form
    3,967.72/5,951.86 = 1,046/x
  3. Step 3: Cross multiply
    3,967.72x = 5,951.86 × 1,046
  4. Step 4: Simplify right side
    3,967.72x = 6,225,645.56
  5. Step 5: Solve for x
    x = 6,225,645.56/3,967.72
  6. Step 6: Final answer
    x = 1,569.07

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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.