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Finding the Fourth Proportional to 4,854.42, 7,279.78 and 1,733.84

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Solution

The fourth proportional to 4,854.42, 7,279.78 and 1,733.84 is: 2,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.42 : 7,279.78 = 1,733.84 : x
  2. Step 2: Convert to fraction form
    4,854.42/7,279.78 = 1,733.84/x
  3. Step 3: Cross multiply
    4,854.42x = 7,279.78 × 1,733.84
  4. Step 4: Simplify right side
    4,854.42x = 12,621,965.09
  5. Step 5: Solve for x
    x = 12,621,965.09/4,854.42
  6. Step 6: Final answer
    x = 2,600.10

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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.