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Finding the Fourth Proportional to 3,695.88, 5,546.26 and 1,748.24

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Solution

The fourth proportional to 3,695.88, 5,546.26 and 1,748.24 is: 2,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.88 : 5,546.26 = 1,748.24 : x
  2. Step 2: Convert to fraction form
    3,695.88/5,546.26 = 1,748.24/x
  3. Step 3: Cross multiply
    3,695.88x = 5,546.26 × 1,748.24
  4. Step 4: Simplify right side
    3,695.88x = 9,696,193.58
  5. Step 5: Solve for x
    x = 9,696,193.58/3,695.88
  6. Step 6: Final answer
    x = 2,623.51

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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.