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Finding the Fourth Proportional to 5,741.60, 7,924.92 and 3,384.50

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Solution

The fourth proportional to 5,741.60, 7,924.92 and 3,384.50 is: 4,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.60 : 7,924.92 = 3,384.50 : x
  2. Step 2: Convert to fraction form
    5,741.60/7,924.92 = 3,384.50/x
  3. Step 3: Cross multiply
    5,741.60x = 7,924.92 × 3,384.50
  4. Step 4: Simplify right side
    5,741.60x = 26,821,891.74
  5. Step 5: Solve for x
    x = 26,821,891.74/5,741.60
  6. Step 6: Final answer
    x = 4,671.50

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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.