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Finding the Fourth Proportional to 3,775.36, 5,663 and 1,584

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Solution

The fourth proportional to 3,775.36, 5,663 and 1,584 is: 2,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.36 : 5,663 = 1,584 : x
  2. Step 2: Convert to fraction form
    3,775.36/5,663 = 1,584/x
  3. Step 3: Cross multiply
    3,775.36x = 5,663 × 1,584
  4. Step 4: Simplify right side
    3,775.36x = 8,970,192
  5. Step 5: Solve for x
    x = 8,970,192/3,775.36
  6. Step 6: Final answer
    x = 2,375.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.