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Finding the Fourth Proportional to 5,314.29, 7,333.69 and 2,924.41

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Solution

The fourth proportional to 5,314.29, 7,333.69 and 2,924.41 is: 4,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.29 : 7,333.69 = 2,924.41 : x
  2. Step 2: Convert to fraction form
    5,314.29/7,333.69 = 2,924.41/x
  3. Step 3: Cross multiply
    5,314.29x = 7,333.69 × 2,924.41
  4. Step 4: Simplify right side
    5,314.29x = 21,446,701.75
  5. Step 5: Solve for x
    x = 21,446,701.75/5,314.29
  6. Step 6: Final answer
    x = 4,035.67

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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.