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Finding the Fourth Proportional to 3,909.66, 5,389.78 and 2,416.74

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Solution

The fourth proportional to 3,909.66, 5,389.78 and 2,416.74 is: 3,331.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.66 : 5,389.78 = 2,416.74 : x
  2. Step 2: Convert to fraction form
    3,909.66/5,389.78 = 2,416.74/x
  3. Step 3: Cross multiply
    3,909.66x = 5,389.78 × 2,416.74
  4. Step 4: Simplify right side
    3,909.66x = 13,025,696.92
  5. Step 5: Solve for x
    x = 13,025,696.92/3,909.66
  6. Step 6: Final answer
    x = 3,331.67

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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.