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Finding the Fourth Proportional to 3,117.06, 4,676.06 and 925.52

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Solution

The fourth proportional to 3,117.06, 4,676.06 and 925.52 is: 1,388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.06 : 4,676.06 = 925.52 : x
  2. Step 2: Convert to fraction form
    3,117.06/4,676.06 = 925.52/x
  3. Step 3: Cross multiply
    3,117.06x = 4,676.06 × 925.52
  4. Step 4: Simplify right side
    3,117.06x = 4,327,765.98
  5. Step 5: Solve for x
    x = 4,327,765.98/3,117.06
  6. Step 6: Final answer
    x = 1,388.41

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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.