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Finding the Fourth Proportional to 4,650.01, 6,975.02 and 2,052.43

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Solution

The fourth proportional to 4,650.01, 6,975.02 and 2,052.43 is: 3,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.01 : 6,975.02 = 2,052.43 : x
  2. Step 2: Convert to fraction form
    4,650.01/6,975.02 = 2,052.43/x
  3. Step 3: Cross multiply
    4,650.01x = 6,975.02 × 2,052.43
  4. Step 4: Simplify right side
    4,650.01x = 14,315,740.30
  5. Step 5: Solve for x
    x = 14,315,740.30/4,650.01
  6. Step 6: Final answer
    x = 3,078.65

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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.