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Finding the Fourth Proportional to 3,909.42, 5,389.43 and 2,416.48

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Solution

The fourth proportional to 3,909.42, 5,389.43 and 2,416.48 is: 3,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.42 : 5,389.43 = 2,416.48 : x
  2. Step 2: Convert to fraction form
    3,909.42/5,389.43 = 2,416.48/x
  3. Step 3: Cross multiply
    3,909.42x = 5,389.43 × 2,416.48
  4. Step 4: Simplify right side
    3,909.42x = 13,023,449.81
  5. Step 5: Solve for x
    x = 13,023,449.81/3,909.42
  6. Step 6: Final answer
    x = 3,331.30

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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.