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Finding the Fourth Proportional to 5,332.64, 7,997.54 and 1,634.58

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Solution

The fourth proportional to 5,332.64, 7,997.54 and 1,634.58 is: 2,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.64 : 7,997.54 = 1,634.58 : x
  2. Step 2: Convert to fraction form
    5,332.64/7,997.54 = 1,634.58/x
  3. Step 3: Cross multiply
    5,332.64x = 7,997.54 × 1,634.58
  4. Step 4: Simplify right side
    5,332.64x = 13,072,610.76
  5. Step 5: Solve for x
    x = 13,072,610.76/5,332.64
  6. Step 6: Final answer
    x = 2,451.44

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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.