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Finding the Fourth Proportional to 5,158.38, 7,736.58 and 1,459.72

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Solution

The fourth proportional to 5,158.38, 7,736.58 and 1,459.72 is: 2,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.38 : 7,736.58 = 1,459.72 : x
  2. Step 2: Convert to fraction form
    5,158.38/7,736.58 = 1,459.72/x
  3. Step 3: Cross multiply
    5,158.38x = 7,736.58 × 1,459.72
  4. Step 4: Simplify right side
    5,158.38x = 11,293,201.87
  5. Step 5: Solve for x
    x = 11,293,201.87/5,158.38
  6. Step 6: Final answer
    x = 2,189.29

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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.