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Finding the Fourth Proportional to 5,865.47, 8,799.69 and 1,705.38

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Solution

The fourth proportional to 5,865.47, 8,799.69 and 1,705.38 is: 2,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.47 : 8,799.69 = 1,705.38 : x
  2. Step 2: Convert to fraction form
    5,865.47/8,799.69 = 1,705.38/x
  3. Step 3: Cross multiply
    5,865.47x = 8,799.69 × 1,705.38
  4. Step 4: Simplify right side
    5,865.47x = 15,006,815.33
  5. Step 5: Solve for x
    x = 15,006,815.33/5,865.47
  6. Step 6: Final answer
    x = 2,558.50

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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.