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Finding the Fourth Proportional to 4,812.90, 6,616.07 and 4,337.70

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Solution

The fourth proportional to 4,812.90, 6,616.07 and 4,337.70 is: 5,962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.90 : 6,616.07 = 4,337.70 : x
  2. Step 2: Convert to fraction form
    4,812.90/6,616.07 = 4,337.70/x
  3. Step 3: Cross multiply
    4,812.90x = 6,616.07 × 4,337.70
  4. Step 4: Simplify right side
    4,812.90x = 28,698,505.15
  5. Step 5: Solve for x
    x = 28,698,505.15/4,812.90
  6. Step 6: Final answer
    x = 5,962.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.