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Finding the Fourth Proportional to 3,375.66, 4,658.43 and 1,883.67

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Solution

The fourth proportional to 3,375.66, 4,658.43 and 1,883.67 is: 2,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.66 : 4,658.43 = 1,883.67 : x
  2. Step 2: Convert to fraction form
    3,375.66/4,658.43 = 1,883.67/x
  3. Step 3: Cross multiply
    3,375.66x = 4,658.43 × 1,883.67
  4. Step 4: Simplify right side
    3,375.66x = 8,774,944.84
  5. Step 5: Solve for x
    x = 8,774,944.84/3,375.66
  6. Step 6: Final answer
    x = 2,599.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.