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Finding the Fourth Proportional to 3,909.70, 5,396.34 and 2,416.72

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Solution

The fourth proportional to 3,909.70, 5,396.34 and 2,416.72 is: 3,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.70 : 5,396.34 = 2,416.72 : x
  2. Step 2: Convert to fraction form
    3,909.70/5,396.34 = 2,416.72/x
  3. Step 3: Cross multiply
    3,909.70x = 5,396.34 × 2,416.72
  4. Step 4: Simplify right side
    3,909.70x = 13,041,430.72
  5. Step 5: Solve for x
    x = 13,041,430.72/3,909.70
  6. Step 6: Final answer
    x = 3,335.66

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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.