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Finding the Fourth Proportional to 3,703.40, 5,110.62 and 2,024.86

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Solution

The fourth proportional to 3,703.40, 5,110.62 and 2,024.86 is: 2,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.40 : 5,110.62 = 2,024.86 : x
  2. Step 2: Convert to fraction form
    3,703.40/5,110.62 = 2,024.86/x
  3. Step 3: Cross multiply
    3,703.40x = 5,110.62 × 2,024.86
  4. Step 4: Simplify right side
    3,703.40x = 10,348,290.01
  5. Step 5: Solve for x
    x = 10,348,290.01/3,703.40
  6. Step 6: Final answer
    x = 2,794.27

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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.