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Finding the Fourth Proportional to 5,201.37, 7,800.90 and 1,502.79

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Solution

The fourth proportional to 5,201.37, 7,800.90 and 1,502.79 is: 2,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.37 : 7,800.90 = 1,502.79 : x
  2. Step 2: Convert to fraction form
    5,201.37/7,800.90 = 1,502.79/x
  3. Step 3: Cross multiply
    5,201.37x = 7,800.90 × 1,502.79
  4. Step 4: Simplify right side
    5,201.37x = 11,723,114.51
  5. Step 5: Solve for x
    x = 11,723,114.51/5,201.37
  6. Step 6: Final answer
    x = 2,253.85

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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.