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Finding the Fourth Proportional to 5,258.40, 7,254 and 4,480.80

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Solution

The fourth proportional to 5,258.40, 7,254 and 4,480.80 is: 6,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.40 : 7,254 = 4,480.80 : x
  2. Step 2: Convert to fraction form
    5,258.40/7,254 = 4,480.80/x
  3. Step 3: Cross multiply
    5,258.40x = 7,254 × 4,480.80
  4. Step 4: Simplify right side
    5,258.40x = 32,503,723.20
  5. Step 5: Solve for x
    x = 32,503,723.20/5,258.40
  6. Step 6: Final answer
    x = 6,181.30

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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.