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Finding the Fourth Proportional to 3,830.09, 5,741.03 and 2,513.34

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Solution

The fourth proportional to 3,830.09, 5,741.03 and 2,513.34 is: 3,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.09 : 5,741.03 = 2,513.34 : x
  2. Step 2: Convert to fraction form
    3,830.09/5,741.03 = 2,513.34/x
  3. Step 3: Cross multiply
    3,830.09x = 5,741.03 × 2,513.34
  4. Step 4: Simplify right side
    3,830.09x = 14,429,166.62
  5. Step 5: Solve for x
    x = 14,429,166.62/3,830.09
  6. Step 6: Final answer
    x = 3,767.32

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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.