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Finding the Fourth Proportional to 4,523.10, 6,780.06 and 3,062.40

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Solution

The fourth proportional to 4,523.10, 6,780.06 and 3,062.40 is: 4,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.10 : 6,780.06 = 3,062.40 : x
  2. Step 2: Convert to fraction form
    4,523.10/6,780.06 = 3,062.40/x
  3. Step 3: Cross multiply
    4,523.10x = 6,780.06 × 3,062.40
  4. Step 4: Simplify right side
    4,523.10x = 20,763,255.74
  5. Step 5: Solve for x
    x = 20,763,255.74/4,523.10
  6. Step 6: Final answer
    x = 4,590.49

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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.