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Finding the Fourth Proportional to 5,684.74, 8,515.74 and 4,516.72

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Solution

The fourth proportional to 5,684.74, 8,515.74 and 4,516.72 is: 6,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.74 : 8,515.74 = 4,516.72 : x
  2. Step 2: Convert to fraction form
    5,684.74/8,515.74 = 4,516.72/x
  3. Step 3: Cross multiply
    5,684.74x = 8,515.74 × 4,516.72
  4. Step 4: Simplify right side
    5,684.74x = 38,463,213.17
  5. Step 5: Solve for x
    x = 38,463,213.17/5,684.74
  6. Step 6: Final answer
    x = 6,766.05

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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.