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Finding the Fourth Proportional to 4,595.50, 6,894.63 and 3,263.86

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Solution

The fourth proportional to 4,595.50, 6,894.63 and 3,263.86 is: 4,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.50 : 6,894.63 = 3,263.86 : x
  2. Step 2: Convert to fraction form
    4,595.50/6,894.63 = 3,263.86/x
  3. Step 3: Cross multiply
    4,595.50x = 6,894.63 × 3,263.86
  4. Step 4: Simplify right side
    4,595.50x = 22,503,107.07
  5. Step 5: Solve for x
    x = 22,503,107.07/4,595.50
  6. Step 6: Final answer
    x = 4,896.77

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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.