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Finding the Fourth Proportional to 5,962.72, 8,943.06 and 1,580.62

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Solution

The fourth proportional to 5,962.72, 8,943.06 and 1,580.62 is: 2,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.72 : 8,943.06 = 1,580.62 : x
  2. Step 2: Convert to fraction form
    5,962.72/8,943.06 = 1,580.62/x
  3. Step 3: Cross multiply
    5,962.72x = 8,943.06 × 1,580.62
  4. Step 4: Simplify right side
    5,962.72x = 14,135,579.50
  5. Step 5: Solve for x
    x = 14,135,579.50/5,962.72
  6. Step 6: Final answer
    x = 2,370.66

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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.