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Finding the Fourth Proportional to 5,000.78, 7,494.12 and 3,826.23

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Solution

The fourth proportional to 5,000.78, 7,494.12 and 3,826.23 is: 5,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.78 : 7,494.12 = 3,826.23 : x
  2. Step 2: Convert to fraction form
    5,000.78/7,494.12 = 3,826.23/x
  3. Step 3: Cross multiply
    5,000.78x = 7,494.12 × 3,826.23
  4. Step 4: Simplify right side
    5,000.78x = 28,674,226.77
  5. Step 5: Solve for x
    x = 28,674,226.77/5,000.78
  6. Step 6: Final answer
    x = 5,733.96

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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.