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Finding the Fourth Proportional to 4,536.70, 6,259.03 and 2,965.70

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Solution

The fourth proportional to 4,536.70, 6,259.03 and 2,965.70 is: 4,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.70 : 6,259.03 = 2,965.70 : x
  2. Step 2: Convert to fraction form
    4,536.70/6,259.03 = 2,965.70/x
  3. Step 3: Cross multiply
    4,536.70x = 6,259.03 × 2,965.70
  4. Step 4: Simplify right side
    4,536.70x = 18,562,413.50
  5. Step 5: Solve for x
    x = 18,562,413.50/4,536.70
  6. Step 6: Final answer
    x = 4,091.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.