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Finding the Fourth Proportional to 5,307.10, 7,969.89 and 4,889.85

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Solution

The fourth proportional to 5,307.10, 7,969.89 and 4,889.85 is: 7,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.10 : 7,969.89 = 4,889.85 : x
  2. Step 2: Convert to fraction form
    5,307.10/7,969.89 = 4,889.85/x
  3. Step 3: Cross multiply
    5,307.10x = 7,969.89 × 4,889.85
  4. Step 4: Simplify right side
    5,307.10x = 38,971,542.17
  5. Step 5: Solve for x
    x = 38,971,542.17/5,307.10
  6. Step 6: Final answer
    x = 7,343.29

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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.