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Finding the Fourth Proportional to 5,568.68, 7,681.38 and 4,307.72

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Solution

The fourth proportional to 5,568.68, 7,681.38 and 4,307.72 is: 5,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.68 : 7,681.38 = 4,307.72 : x
  2. Step 2: Convert to fraction form
    5,568.68/7,681.38 = 4,307.72/x
  3. Step 3: Cross multiply
    5,568.68x = 7,681.38 × 4,307.72
  4. Step 4: Simplify right side
    5,568.68x = 33,089,234.25
  5. Step 5: Solve for x
    x = 33,089,234.25/5,568.68
  6. Step 6: Final answer
    x = 5,942.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.