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Finding the Fourth Proportional to 5,162.85, 7,733.25 and 3,497.94

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Solution

The fourth proportional to 5,162.85, 7,733.25 and 3,497.94 is: 5,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.85 : 7,733.25 = 3,497.94 : x
  2. Step 2: Convert to fraction form
    5,162.85/7,733.25 = 3,497.94/x
  3. Step 3: Cross multiply
    5,162.85x = 7,733.25 × 3,497.94
  4. Step 4: Simplify right side
    5,162.85x = 27,050,444.51
  5. Step 5: Solve for x
    x = 27,050,444.51/5,162.85
  6. Step 6: Final answer
    x = 5,239.44

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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.