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Finding the Fourth Proportional to 5,395.97, 8,094.81 and 1,886.95

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Solution

The fourth proportional to 5,395.97, 8,094.81 and 1,886.95 is: 2,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.97 : 8,094.81 = 1,886.95 : x
  2. Step 2: Convert to fraction form
    5,395.97/8,094.81 = 1,886.95/x
  3. Step 3: Cross multiply
    5,395.97x = 8,094.81 × 1,886.95
  4. Step 4: Simplify right side
    5,395.97x = 15,274,501.73
  5. Step 5: Solve for x
    x = 15,274,501.73/5,395.97
  6. Step 6: Final answer
    x = 2,830.72

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Why These Related Problems?

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