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Finding the Fourth Proportional to 3,775.61, 5,663.93 and 1,583.82

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Solution

The fourth proportional to 3,775.61, 5,663.93 and 1,583.82 is: 2,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.61 : 5,663.93 = 1,583.82 : x
  2. Step 2: Convert to fraction form
    3,775.61/5,663.93 = 1,583.82/x
  3. Step 3: Cross multiply
    3,775.61x = 5,663.93 × 1,583.82
  4. Step 4: Simplify right side
    3,775.61x = 8,970,637.69
  5. Step 5: Solve for x
    x = 8,970,637.69/3,775.61
  6. Step 6: Final answer
    x = 2,375.94

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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.