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Finding the Fourth Proportional to 5,938.69, 8,908.94 and 4,307.55

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Solution

The fourth proportional to 5,938.69, 8,908.94 and 4,307.55 is: 6,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.69 : 8,908.94 = 4,307.55 : x
  2. Step 2: Convert to fraction form
    5,938.69/8,908.94 = 4,307.55/x
  3. Step 3: Cross multiply
    5,938.69x = 8,908.94 × 4,307.55
  4. Step 4: Simplify right side
    5,938.69x = 38,375,715.27
  5. Step 5: Solve for x
    x = 38,375,715.27/5,938.69
  6. Step 6: Final answer
    x = 6,461.99

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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.