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Finding the Fourth Proportional to 3,854.76, 5,782.15 and 933.06

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Solution

The fourth proportional to 3,854.76, 5,782.15 and 933.06 is: 1,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.76 : 5,782.15 = 933.06 : x
  2. Step 2: Convert to fraction form
    3,854.76/5,782.15 = 933.06/x
  3. Step 3: Cross multiply
    3,854.76x = 5,782.15 × 933.06
  4. Step 4: Simplify right side
    3,854.76x = 5,395,063.97
  5. Step 5: Solve for x
    x = 5,395,063.97/3,854.76
  6. Step 6: Final answer
    x = 1,399.59

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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.