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Finding the Fourth Proportional to 5,978.60, 8,258.34 and 4,578.92

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Solution

The fourth proportional to 5,978.60, 8,258.34 and 4,578.92 is: 6,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.60 : 8,258.34 = 4,578.92 : x
  2. Step 2: Convert to fraction form
    5,978.60/8,258.34 = 4,578.92/x
  3. Step 3: Cross multiply
    5,978.60x = 8,258.34 × 4,578.92
  4. Step 4: Simplify right side
    5,978.60x = 37,814,278.19
  5. Step 5: Solve for x
    x = 37,814,278.19/5,978.60
  6. Step 6: Final answer
    x = 6,324.94

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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.