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Finding the Fourth Proportional to 4,651.80, 6,419.60 and 2,556.04

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Solution

The fourth proportional to 4,651.80, 6,419.60 and 2,556.04 is: 3,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.80 : 6,419.60 = 2,556.04 : x
  2. Step 2: Convert to fraction form
    4,651.80/6,419.60 = 2,556.04/x
  3. Step 3: Cross multiply
    4,651.80x = 6,419.60 × 2,556.04
  4. Step 4: Simplify right side
    4,651.80x = 16,408,754.38
  5. Step 5: Solve for x
    x = 16,408,754.38/4,651.80
  6. Step 6: Final answer
    x = 3,527.40

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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.