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Finding the Fourth Proportional to 5,866.43, 8,799.90 and 1,706.35

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Solution

The fourth proportional to 5,866.43, 8,799.90 and 1,706.35 is: 2,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.43 : 8,799.90 = 1,706.35 : x
  2. Step 2: Convert to fraction form
    5,866.43/8,799.90 = 1,706.35/x
  3. Step 3: Cross multiply
    5,866.43x = 8,799.90 × 1,706.35
  4. Step 4: Simplify right side
    5,866.43x = 15,015,709.37
  5. Step 5: Solve for x
    x = 15,015,709.37/5,866.43
  6. Step 6: Final answer
    x = 2,559.60

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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.