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Finding the Fourth Proportional to 4,951.34, 6,830.65 and 3,182.61

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Solution

The fourth proportional to 4,951.34, 6,830.65 and 3,182.61 is: 4,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.34 : 6,830.65 = 3,182.61 : x
  2. Step 2: Convert to fraction form
    4,951.34/6,830.65 = 3,182.61/x
  3. Step 3: Cross multiply
    4,951.34x = 6,830.65 × 3,182.61
  4. Step 4: Simplify right side
    4,951.34x = 21,739,295.00
  5. Step 5: Solve for x
    x = 21,739,295.00/4,951.34
  6. Step 6: Final answer
    x = 4,390.59

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