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Finding the Fourth Proportional to 4,503.66, 6,755.85 and 1,582.62

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Solution

The fourth proportional to 4,503.66, 6,755.85 and 1,582.62 is: 2,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503.66 : 6,755.85 = 1,582.62 : x
  2. Step 2: Convert to fraction form
    4,503.66/6,755.85 = 1,582.62/x
  3. Step 3: Cross multiply
    4,503.66x = 6,755.85 × 1,582.62
  4. Step 4: Simplify right side
    4,503.66x = 10,691,943.33
  5. Step 5: Solve for x
    x = 10,691,943.33/4,503.66
  6. Step 6: Final answer
    x = 2,374.06

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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.