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Finding the Fourth Proportional to 4,249.40, 6,364.85 and 2,053.50

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Solution

The fourth proportional to 4,249.40, 6,364.85 and 2,053.50 is: 3,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.40 : 6,364.85 = 2,053.50 : x
  2. Step 2: Convert to fraction form
    4,249.40/6,364.85 = 2,053.50/x
  3. Step 3: Cross multiply
    4,249.40x = 6,364.85 × 2,053.50
  4. Step 4: Simplify right side
    4,249.40x = 13,070,209.21
  5. Step 5: Solve for x
    x = 13,070,209.21/4,249.40
  6. Step 6: Final answer
    x = 3,075.78

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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.