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Finding the Fourth Proportional to 5,258.60, 7,874.22 and 5,102.77

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Solution

The fourth proportional to 5,258.60, 7,874.22 and 5,102.77 is: 7,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.60 : 7,874.22 = 5,102.77 : x
  2. Step 2: Convert to fraction form
    5,258.60/7,874.22 = 5,102.77/x
  3. Step 3: Cross multiply
    5,258.60x = 7,874.22 × 5,102.77
  4. Step 4: Simplify right side
    5,258.60x = 40,180,333.59
  5. Step 5: Solve for x
    x = 40,180,333.59/5,258.60
  6. Step 6: Final answer
    x = 7,640.88

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1.5x scale

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.