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Finding the Fourth Proportional to 5,258.53, 7,884.82 and 4,811.68

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Solution

The fourth proportional to 5,258.53, 7,884.82 and 4,811.68 is: 7,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.53 : 7,884.82 = 4,811.68 : x
  2. Step 2: Convert to fraction form
    5,258.53/7,884.82 = 4,811.68/x
  3. Step 3: Cross multiply
    5,258.53x = 7,884.82 × 4,811.68
  4. Step 4: Simplify right side
    5,258.53x = 37,939,230.70
  5. Step 5: Solve for x
    x = 37,939,230.70/5,258.53
  6. Step 6: Final answer
    x = 7,214.80

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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.