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Finding the Fourth Proportional to 3,776.74, 5,664.66 and 1,003.62

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Solution

The fourth proportional to 3,776.74, 5,664.66 and 1,003.62 is: 1,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.74 : 5,664.66 = 1,003.62 : x
  2. Step 2: Convert to fraction form
    3,776.74/5,664.66 = 1,003.62/x
  3. Step 3: Cross multiply
    3,776.74x = 5,664.66 × 1,003.62
  4. Step 4: Simplify right side
    3,776.74x = 5,685,166.07
  5. Step 5: Solve for x
    x = 5,685,166.07/3,776.74
  6. Step 6: Final answer
    x = 1,505.31

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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.