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Finding the Fourth Proportional to 3,591.90, 4,952.70 and 2,314.08

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Solution

The fourth proportional to 3,591.90, 4,952.70 and 2,314.08 is: 3,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.90 : 4,952.70 = 2,314.08 : x
  2. Step 2: Convert to fraction form
    3,591.90/4,952.70 = 2,314.08/x
  3. Step 3: Cross multiply
    3,591.90x = 4,952.70 × 2,314.08
  4. Step 4: Simplify right side
    3,591.90x = 11,460,944.02
  5. Step 5: Solve for x
    x = 11,460,944.02/3,591.90
  6. Step 6: Final answer
    x = 3,190.77

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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.