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Finding the Fourth Proportional to 3,374.35, 4,656.12 and 1,882.09

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Solution

The fourth proportional to 3,374.35, 4,656.12 and 1,882.09 is: 2,597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.35 : 4,656.12 = 1,882.09 : x
  2. Step 2: Convert to fraction form
    3,374.35/4,656.12 = 1,882.09/x
  3. Step 3: Cross multiply
    3,374.35x = 4,656.12 × 1,882.09
  4. Step 4: Simplify right side
    3,374.35x = 8,763,236.89
  5. Step 5: Solve for x
    x = 8,763,236.89/3,374.35
  6. Step 6: Final answer
    x = 2,597.01

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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.