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Finding the Fourth Proportional to 5,889.60, 8,135.94 and 5,578.56

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Solution

The fourth proportional to 5,889.60, 8,135.94 and 5,578.56 is: 7,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.60 : 8,135.94 = 5,578.56 : x
  2. Step 2: Convert to fraction form
    5,889.60/8,135.94 = 5,578.56/x
  3. Step 3: Cross multiply
    5,889.60x = 8,135.94 × 5,578.56
  4. Step 4: Simplify right side
    5,889.60x = 45,386,829.45
  5. Step 5: Solve for x
    x = 45,386,829.45/5,889.60
  6. Step 6: Final answer
    x = 7,706.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.