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Finding the Fourth Proportional to 5,867.76, 8,097.60 and 3,510

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Solution

The fourth proportional to 5,867.76, 8,097.60 and 3,510 is: 4,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.76 : 8,097.60 = 3,510 : x
  2. Step 2: Convert to fraction form
    5,867.76/8,097.60 = 3,510/x
  3. Step 3: Cross multiply
    5,867.76x = 8,097.60 × 3,510
  4. Step 4: Simplify right side
    5,867.76x = 28,422,576
  5. Step 5: Solve for x
    x = 28,422,576/5,867.76
  6. Step 6: Final answer
    x = 4,843.85

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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.