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Finding the Fourth Proportional to 4,179.95, 5,768.33 and 2,316.95

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Solution

The fourth proportional to 4,179.95, 5,768.33 and 2,316.95 is: 3,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.95 : 5,768.33 = 2,316.95 : x
  2. Step 2: Convert to fraction form
    4,179.95/5,768.33 = 2,316.95/x
  3. Step 3: Cross multiply
    4,179.95x = 5,768.33 × 2,316.95
  4. Step 4: Simplify right side
    4,179.95x = 13,364,932.19
  5. Step 5: Solve for x
    x = 13,364,932.19/4,179.95
  6. Step 6: Final answer
    x = 3,197.39

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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.