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Finding the Fourth Proportional to 5,308.65, 7,963.93 and 2,186.95

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Solution

The fourth proportional to 5,308.65, 7,963.93 and 2,186.95 is: 3,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.65 : 7,963.93 = 2,186.95 : x
  2. Step 2: Convert to fraction form
    5,308.65/7,963.93 = 2,186.95/x
  3. Step 3: Cross multiply
    5,308.65x = 7,963.93 × 2,186.95
  4. Step 4: Simplify right side
    5,308.65x = 17,416,714.47
  5. Step 5: Solve for x
    x = 17,416,714.47/5,308.65
  6. Step 6: Final answer
    x = 3,280.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.