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Finding the Fourth Proportional to 5,814.96, 8,709.18 and 3,706.57

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Solution

The fourth proportional to 5,814.96, 8,709.18 and 3,706.57 is: 5,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.96 : 8,709.18 = 3,706.57 : x
  2. Step 2: Convert to fraction form
    5,814.96/8,709.18 = 3,706.57/x
  3. Step 3: Cross multiply
    5,814.96x = 8,709.18 × 3,706.57
  4. Step 4: Simplify right side
    5,814.96x = 32,281,185.31
  5. Step 5: Solve for x
    x = 32,281,185.31/5,814.96
  6. Step 6: Final answer
    x = 5,551.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.