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Finding the Fourth Proportional to 3,137.84, 4,328.34 and 2,091.32

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Solution

The fourth proportional to 3,137.84, 4,328.34 and 2,091.32 is: 2,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.84 : 4,328.34 = 2,091.32 : x
  2. Step 2: Convert to fraction form
    3,137.84/4,328.34 = 2,091.32/x
  3. Step 3: Cross multiply
    3,137.84x = 4,328.34 × 2,091.32
  4. Step 4: Simplify right side
    3,137.84x = 9,051,944.01
  5. Step 5: Solve for x
    x = 9,051,944.01/3,137.84
  6. Step 6: Final answer
    x = 2,884.77

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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.