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Finding the Fourth Proportional to 3,396.29, 4,686.82 and 1,904.24

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Solution

The fourth proportional to 3,396.29, 4,686.82 and 1,904.24 is: 2,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.29 : 4,686.82 = 1,904.24 : x
  2. Step 2: Convert to fraction form
    3,396.29/4,686.82 = 1,904.24/x
  3. Step 3: Cross multiply
    3,396.29x = 4,686.82 × 1,904.24
  4. Step 4: Simplify right side
    3,396.29x = 8,924,830.12
  5. Step 5: Solve for x
    x = 8,924,830.12/3,396.29
  6. Step 6: Final answer
    x = 2,627.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.