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Finding the Fourth Proportional to 4,651.38, 6,419.04 and 2,527.05

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Solution

The fourth proportional to 4,651.38, 6,419.04 and 2,527.05 is: 3,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.38 : 6,419.04 = 2,527.05 : x
  2. Step 2: Convert to fraction form
    4,651.38/6,419.04 = 2,527.05/x
  3. Step 3: Cross multiply
    4,651.38x = 6,419.04 × 2,527.05
  4. Step 4: Simplify right side
    4,651.38x = 16,221,235.03
  5. Step 5: Solve for x
    x = 16,221,235.03/4,651.38
  6. Step 6: Final answer
    x = 3,487.40

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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.