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Finding the Fourth Proportional to 5,264.34, 7,894.80 and 1,753.60

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Solution

The fourth proportional to 5,264.34, 7,894.80 and 1,753.60 is: 2,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.34 : 7,894.80 = 1,753.60 : x
  2. Step 2: Convert to fraction form
    5,264.34/7,894.80 = 1,753.60/x
  3. Step 3: Cross multiply
    5,264.34x = 7,894.80 × 1,753.60
  4. Step 4: Simplify right side
    5,264.34x = 13,844,321.28
  5. Step 5: Solve for x
    x = 13,844,321.28/5,264.34
  6. Step 6: Final answer
    x = 2,629.83

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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.