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Finding the Fourth Proportional to 3,101.88, 4,652.82 and 2,905.05

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Solution

The fourth proportional to 3,101.88, 4,652.82 and 2,905.05 is: 4,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.88 : 4,652.82 = 2,905.05 : x
  2. Step 2: Convert to fraction form
    3,101.88/4,652.82 = 2,905.05/x
  3. Step 3: Cross multiply
    3,101.88x = 4,652.82 × 2,905.05
  4. Step 4: Simplify right side
    3,101.88x = 13,516,674.74
  5. Step 5: Solve for x
    x = 13,516,674.74/3,101.88
  6. Step 6: Final answer
    x = 4,357.58

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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.