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Finding the Fourth Proportional to 5,258.22, 7,871.58 and 5,071.30

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Solution

The fourth proportional to 5,258.22, 7,871.58 and 5,071.30 is: 7,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.22 : 7,871.58 = 5,071.30 : x
  2. Step 2: Convert to fraction form
    5,258.22/7,871.58 = 5,071.30/x
  3. Step 3: Cross multiply
    5,258.22x = 7,871.58 × 5,071.30
  4. Step 4: Simplify right side
    5,258.22x = 39,919,143.65
  5. Step 5: Solve for x
    x = 39,919,143.65/5,258.22
  6. Step 6: Final answer
    x = 7,591.76

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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.