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Finding the Fourth Proportional to 3,455.64, 5,180.38 and 1,262.82

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Solution

The fourth proportional to 3,455.64, 5,180.38 and 1,262.82 is: 1,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.64 : 5,180.38 = 1,262.82 : x
  2. Step 2: Convert to fraction form
    3,455.64/5,180.38 = 1,262.82/x
  3. Step 3: Cross multiply
    3,455.64x = 5,180.38 × 1,262.82
  4. Step 4: Simplify right side
    3,455.64x = 6,541,887.47
  5. Step 5: Solve for x
    x = 6,541,887.47/3,455.64
  6. Step 6: Final answer
    x = 1,893.10

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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.